{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# PreProcessing using scikit-learn\n",
    "\n",
    "\n",
    "<img src=\"https://github.com/awantik/machine-learning-slides/blob/master/ML-Pipeline.png?raw=true\">\n",
    "## Agenda\n",
    "1. Introduction to Preprocessing\n",
    "2. StandardScaler\n",
    "3. MinMaxScaler\n",
    "4. RobustScaler\n",
    "5. Normalization\n",
    "6. Binarization\n",
    "7. Encoding Categorical (Ordinal & Nominal) Features\n",
    "8. Imputation\n",
    "9. Polynomial Features\n",
    "10. Custom Transformer\n",
    "11. Text Processing\n",
    "12. CountVectorizer\n",
    "13. TfIdf\n",
    "14. HashingVectorizer\n",
    "15. Image using skimage"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Common import"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import seaborn as sns; sns.set(color_codes=True)\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1. Introduction to PreProcessing\n",
    "* Learning algorithms have affinity towards certain pattern of data.\n",
    "* Unscaled or unstandardized data have might have unacceptable prediction\n",
    "* Learning algorithms understands only number, converting text image to number is required\n",
    "* Preprocessing refers to transformation before feeding to machine learning\n",
    "\n",
    "\n",
    "<img src=\"https://github.com/awantik/machine-learning-slides/blob/master/pp5.PNG?raw=true\">\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2. StandardScaler\n",
    "* The StandardScaler assumes your data is normally distributed within each feature and will scale them such that the distribution is now centred around 0, with a standard deviation of 1.\n",
    "* Calculate - Subtract mean of column & div by standard deviation\n",
    "\n",
    "\n",
    "\n",
    "<img src=\"https://github.com/awantik/machine-learning-slides/blob/master/pp4.PNG?raw=true\">\n",
    "\n",
    "\n",
    "* If data is not normally distributed, this is not the best scaler to use."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Generating normally distributed data\n",
    "\n",
    "df = pd.DataFrame({\n",
    "    'x1': np.random.normal(0, 2, 10000),\n",
    "    'x2': np.random.normal(5, 3, 10000),\n",
    "    'x3': np.random.normal(-5, 5, 10000)\n",
    "})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x1b68631f240>"
      ]
     },
     "execution_count": 89,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1b6863bb860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plotting data\n",
    "\n",
    "df.plot.kde()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.preprocessing import StandardScaler\n",
    "standardscaler = StandardScaler()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {},
   "outputs": [],
   "source": [
    "data_tf = standardscaler.fit_transform(df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.DataFrame(data_tf, columns=['x1','x2','x3'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x1b6863dc550>"
      ]
     },
     "execution_count": 93,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1b6863a65c0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df.plot.kde()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3. MinMaxScaler\n",
    "* One of the most popular\n",
    "* Calculate - Subtract min of column & div by difference between max & min\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "<img src=\"https://github.com/awantik/machine-learning-slides/blob/master/pp3.PNG?raw=true\">\n",
    "\n",
    "\n",
    "\n",
    "* Data shifts between 0 & 1\n",
    "* If distribution not suitable for StandardScaler, this scaler works out.\n",
    "* Sensitive to outliers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.DataFrame({\n",
    "    # positive skew\n",
    "    'x1': np.random.chisquare(8, 1000),\n",
    "    # negative skew \n",
    "    'x2': np.random.beta(8, 2, 1000) * 40,\n",
    "    # no skew\n",
    "    'x3': np.random.normal(50, 3, 1000)\n",
    "})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x1b682603d30>"
      ]
     },
     "execution_count": 95,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1b6fdde5a58>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df.plot.kde()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.preprocessing import MinMaxScaler"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {},
   "outputs": [],
   "source": [
    "minmax = MinMaxScaler()\n",
    "data_tf = minmax.fit_transform(df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x1b6864bbb00>"
      ]
     },
     "execution_count": 98,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1b6863fbe80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df = pd.DataFrame(data_tf,columns=['x1','x2','x3'])\n",
    "df.plot.kde()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 4. Robust Scaler\n",
    "* Suited for data with outliers\n",
    "* Calculate by subtracting 1st-quartile & div by difference between 3rd-quartile & 1st-quartile\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "<img src=\"https://github.com/awantik/machine-learning-slides/blob/master/pp2.PNG?raw=true\">"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.DataFrame({\n",
    "    # Distribution with lower outliers\n",
    "    'x1': np.concatenate([np.random.normal(20, 1, 1000), np.random.normal(1, 1, 25)]),\n",
    "    # Distribution with higher outliers\n",
    "    'x2': np.concatenate([np.random.normal(30, 1, 1000), np.random.normal(50, 1, 25)]),\n",
    "})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x1b6864e8940>"
      ]
     },
     "execution_count": 100,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1b6865209e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df.plot.kde()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 101,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.preprocessing import RobustScaler\n",
    "robustscaler = RobustScaler()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 102,
   "metadata": {},
   "outputs": [],
   "source": [
    "data_tf = robustscaler.fit_transform(df)\n",
    "df = pd.DataFrame(data_tf, columns=['x1','x2'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x1b686597160>"
      ]
     },
     "execution_count": 103,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1b6864fd278>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df.plot.kde()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5. Normalizer\n",
    "* Each parameter value is obtained by dividing by magnitude\n",
    "\n",
    "\n",
    "<img src=\"https://github.com/awantik/machine-learning-slides/blob/master/pp1.PNG?raw=true\">\n",
    "* Centralizes data to origin "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 104,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.DataFrame({\n",
    "    'x1': np.random.randint(-100, 100, 1000).astype(float),\n",
    "    'y1': np.random.randint(-80, 80, 1000).astype(float),\n",
    "    'z1': np.random.randint(-150, 150, 1000).astype(float),\n",
    "})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<mpl_toolkits.mplot3d.art3d.Path3DCollection at 0x1b686661470>"
      ]
     },
     "execution_count": 105,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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luxGyLPHkkW48z0eWhQHj+6emcTwPx4WDQ3EKhRKFgngB1gghpqscP9Rbj9gal8u6riLLNp4nlq8F02F6qURvKrSGDG9O5/jR2Sl8D1RFYs9AjGsTOSqWQzig8vQDPaTigXWvV9l0+PYbE8xmbCJBUamfX64ws1iiv2tjidtGuN30QqFkM7tcZkciQCys31FaoHYNTdOqT/nIZgurJkTr9QnRtZdgs5rCWfM5ZFl+1yaA3Gu0SfcOsb6hYfPGLrXZY7V8qfhza2/97SyfahGsJEmEAhqlilPfRzRsEI+H6w62aDS0IeF61ZtdrufM1j/e0T1Jzl5PU6w4PLC7g6N7U+jaxrk1XZMJGjJ2VYnheR7pnMM3X59CloWx4akj3S29ZGqFtFQ8wCcfH2RyoUgspNPbGWraznVrsrQw2Wy+/vPG5fJDB7t56cwMrutzdXwZQ5P54dvz9CSDPP9QL341pVAoWbxxYU6YYmVxbV46M0NPMoSmKliOz5lrS3x0VYQPIsL9+qsTTC4UyZUclhWJwWqK4zazC7dFlqOzeV48PYPleCiKzIkHengslbirkjHYeEJ0Mxlr65Kx67rI8ubtL99PaJPubWIz99hGxGQYOoGAhuN4FIvlOskZxrvVfWtlv08d6eHlc7OYtkd3MszTD/bX7cKrceFWmjcvzuP6PqoiIVf3cXBnByceGtrwaAFdJRrSyJVs8mWH+UyFnmSQt6tEnIwHeeRwb317SZL4qYcH+OYbE3g+WLaEril1oh6dKbC7L7qpsWE9hINak3RtNdb7bhqXy4YMH7kvxVuXF4mFFEJBXZgmshbzOY/DIylePDnB9aksl8czBDSF/q4Q+NRfIDXYG7zIroxlqJgOyaiBafsUyhaFss3ewTg9qdC6v7MRsgWTC6NZ4hNFBpIa8fDa3PlGOHNtCae6SvB9n9NXl3j86HBLpHtzOs/ViSyyLPHQvtSaiL6Vl8DGZNw8IVpRFFKpBJ63NjJePQevrV74AKFR8tW6Vbd5hPl6RLedfgbbLaTVNh3sjfNPdnZi2w6Vio27wZywbMHkpTPTmJbLTLpEvmixoyPISF+M87fSDPXFGOxafyLw+FyB0ZkCiizh4fP29TRjEY1s0UaSJEynxJsX57hveOX3h3oifP65EeaWy0zOF5nPNMvHTLv5WlUsh0LFQ/L82yo4eZ7POzfTqGNF4kGf/g0IPWSodMUNJuZkXMfFpZqmWcryjlXm0q1FQkGdzkSQ+eUyJcunI2Zw/54u8mUbCXBcl4GuDZQPtVSPLLF7IMHMQo6HD3Ty8P71C5wboWQ6fOvNKSzHI7Rscf6axaefGCIUaO3RXh08CoXA1mmKqcUiPzg9Te2lPpcu84vP7cKovjDLpsPkUoZERCdibP97Wj0h2jB0FheXqwXnFTIOhYIoikKhkOd3fud36OrawdDQLnbuHGFkZDeh0PbTNKtx4cJ5/viP/4A/+qMvc+XKZX77t3+DgQFRd/jsZz/H88+/wFe+8mVee+1lFEXlX/7LL3LixOMb7q9Nui1AkiAY1AF/XUXBRqjltDaz6sLtKxK2gu9Tnwlm2y5vX5nh/M1lwOf+kRRDPWvJczFr4rg+s+kSpuXi+7CcN1nOmyRjAZZzFkM71h5LkiTyZbuZCH2fpUwFTRe3mYRENm/iuGHUhqkLHVGDjqhBZ8zgay+PoyoymioTCan1JTfAjakclydzyLKCiseTR7pbJpcaXjwzw3S6RCgYoFSqcOKBng0lYXv6Y1wez9bTMqGAykhflOmlMiAUGZ2xALLvkggpPLQnwVB3lCsTWfIll+5UmCN7upDlte67IyMd3JrJUyjZ4Psc2pnYNuEC3JrOY9ousiTjA6btcmsmz+FdrTUV2jcY5/ULc1BNHe0ZiLcUoU7MFWlcnZVMl5mlEjt7oqRzJl9/bQLXE8qQB3aLz3YnWElV+E1kXIMsS3zqU5/m6tWrvP32Wb72tb8hkUjw7/7dH9zRcf/bf/sq3/72NwkEhNb76tXLfP7zv8wv/dL/WN/mypXLnD17mi9/+avMzc3xb/7Nb3HixN9uuM826W6Cuh9frv25tdxirWm4JLGtqbqtwPf9LQdO1hrh6LqK47jk8yXmlkq8eHoaqfoZXjwzzWeeGqYj2rwk7OsMoirguCK1UJGEfrVsibza8DpEXUMqZjA2U6jnVxVVJhrWKFZEvno+U6ZsumQLFXqTQY7uXVEEXJ/K8fcvj7GYreB5Pgd3Jfj4I8N1cvY8n0tjmbppolJxuDSW4aFtPMy24zG1WKqP2ZEliRvT+Q1JV9cUPvHYAJfGMgAcHE6gawp9qSCGpta/145ogOeO9RIJitXM7t6V/a1EZzXTgTB8JBJRfvFjYf76B9dwfdiRjKBqKl5VXtcqgoaC7yGeZB98T/ysVRwZ6SAW1phdKtGZCLC7L9YS6UZCGp7v1wuLkuTTERHTQU5fW8KyPeEi833euZ7m2N5Ui53bbg+e53P06EMcPfowitJ6emUr9PcP8KUv/T7/9t/+HwBcuXKJ8fExXn75hwwMDPKv/tVv8s47Zzl+/DEkSaKnpwfXddi/f3/XlStXFtbbZ5t018F6hoatyG7Fqqtimhae51OpWC09QHcr0pUkQfi16NqybFzXw/N8phaLdcIFcZOOzuR55/oS+bJDd2eEB3YlCBoan35yJ1/5xmU8zycVD+A4Hn2pEM8/1E8yFtiwoNGTDHFw2GVqqYQswf6hOCFD5dSVRZZyJvmSxZ6BBK7jMLdcZnyuyHBPBNvx+PuXx5haLGG7wul2ZTzHzdkCB6u5Wc/3cT0freF4jQaHViDL0pqUhKpsft0DusqDe5uJXdcUPvpQLxOLFqZlM7QjSCSobbCHZvdduWHoxzden8C2XQIBg6uTWcIhgyfu72uw8TbnLte7l3b1RhmfLzI6W8BxXYZ7I+zqjXJzOlc1khjsGYjx5qUF5pYrBHSFJ+7b0XS+w90RhrdpADm8M8H8cplb1Zfs8X2ieX3t80L1+fHAwxcEfZt1C1FE+8koF5555nlmZqbrfz948DCf+tTPcuDAQb761T/lK1/5f4hEIsTjKzWEakojDrRJdyts3sd2/Z+vturWRphrmtqyWF10DmvtHNcj6EaytayVRjgiJbJS1fd8r64/9YHxuTxl00WSJCbn8pRKJieO9jHUHeVXP32I1y/MYTkegzvCPHmkp/55asd3XI9Xz81SsT0Ge2I8uDfFkUiIA3at+baIcJ+6v4fpxRKXxrPomkLZcZDllTaPE/NFLNutEy6A43hMzBXrpKsqMjs6gmQK1VE5nsdA9/bydYoscXRPktPX0li2S0BXeHDvWtNDKwgaKo8c7qBcNreU+k3OF3n1wjyW4zHQFeLEAz24nk+2YIkCFuA6DuMzy+zpCTSMjBd23FAogKKo+H5zEcm2hbzqxAM9PHrIJ5GIUikWeOdGmjPX0nWyOn1tiZLp1lUR3zs5zc9+ZHjdc92OHva5Y33VhjbNxasDwwkm5osgSbiez0hvtCmdtF1sR5XxbhfRnn76WaLRaP3P/+E//D5PPXWCUqlY36b658xG+2iTLq1OaGgmu62tutuJXn2g+aZ0XI/zN9OAz30jqfpN20j+G5Ftfa8N2w7uiHBsXxcXR5eRJLhvV5Kb07n6OUqSRLa4Qh79XWF+vtonoelMG+79756cZnpR3GzXJzMUi2UeP9K3TiMVB003uDFTatpPb7Ungq5KdMQCTC6WxSvK90lENAy9+Zo8eqiL0bkSPjJRI8KOjkZDQ4655QqRoELI0AgZKj2p4Jrv4PCuDkb6YxjBIJ5VuSMyaAWO6/H3r46TK9kYqkyxbBMNahzblyIcUKlYrkgL+D6Ran56oynFqyv6tSbnoujkioZBnsPoXLG+lJdlifG5Ajs6VvpPZAoW7gaFyO1qfddLGQx2hfnk44Okix4KHnv778xGLUnvHY3uF7/46/zGb/yvHDp0H6dOvcn+/Qc4cuQB/viP/4Bf+qX/ifn5eTzP58qVK4sb7eNDS7pCVaBi207LVl2q86NqI8w3suqK7Vs/l9VRtON6/Pn3rjObFiT19vUlfvmFfU0EEQoZaNr6ZLsRju7t5GjDUlnkWB1RpPB94mGN2XSRy6MZfAn29scZ2LH2gVFVhVgsxGy6hOuKYpsEjM7kOLJrZZklSdRJImCofPSRIa6MZ3A9n509UTqiovn6zj6FaHAeQ5PJl0TTc8/zObq7uRgkSxIHhzsIBg0ymRWN7bkbaU5dXcL1PKYWSqTiBj3JEEPdYY4f6Fpz/uGARioZZmFhazPK5th6JXP+ZpqxuSJylcwSUZ1MwUKShKnjzUuLyKpMvDPMg/tSTC0IwuxJrn1hrK7o1yBWW0Z9QnE4FMBypbq5IxwyhLkA8D2P8CZOuVpUWSzbvHNzGQl4YE+SoLE9qujuCHJoT4JsNn/HluD3kkb3X//r/41//+9/D1VVSaVS/NZv/e+EwxHuv/8ov/Zr/xTf9/niF3970318KElXUcTNFQ4bZLOtWW5rIm5FMapku/nvbW8ETvO2F2+lmUmX6kWKhUyFt68vcvxgN7quoWkKlYq1JdlulYd+4kgPr7wzK2RhyRAHhmL88PRK/uqN3DzBgEIqJqKkxvlrhUIFTZGwrJVjBVb1ofV9mjqJGYbO0b2dZLN5NM3HcVw0TWV2uUK6YAlSiuhoqoymKZy5nuGZoz1bXr9bsyKvmM7Z2K7PxEIJkLAdj8O7OgitIoy7tQJtJSocmysiQTWNA9mCRVdCFC874wE+9cQgqVQHc3NLfPP1SaaqK4eh7gg//Uh/S/eQ64qo2DB0stk8BwbCvHQmh+2Kbmw/9/QIN6azzGcqhIM6zx7rJx4PNOWNazJGSZLIlyz+5sdjddXGzek8P39iGEPfHl1slBbwfZ8rE1kyBYv+znCTQmU7+9lg622dYyvo7e3jy1/+LwDs33+A//SfvrJmmy984df4whd+raX9fahIt9nQsD2rLoDvey33U9iO9nbN79J860gS6LpONBrCtkVRpVK50ygNgrrKRx8eACAWC3Hm0mzTC0AC5pbK9HXFCAT0+nFrHZ9OHO3hm6+PM7dUxtBkUjGjhU9GtUWfKPQt501eOTdHsWQJg4TroaoyiiwhyWrVt78ighfXo/nCKtVimGm75IoWkgSz6RLLeVP0HTZEy8crE1m6EgH2DibWJcvFbIWrEzkCuszRPbdfbfd8H8v2MDSZiiUccJ7n4+PjujIHh+MNW4to+fJ4hpl0qb6amZgvcn0qx96B+LrHqGFsrsCpK4sgSdy3u4t9fSEGusJ87pldLOUqJKMGQUOlp2NlhaOqHqZpNfTUDddTQa7rcerKAqbl1a23+bLN9ek8h3dub7bdRmT5yrk5LoxmkGWJ8zeWefpoN/sGNzaz1IwbHxR84En3dgwNsLrblonn+dVetq3i9iPdw7uSvHNjifnlCrIs0Z2KcHRvJ7lcEVmWCYXW9/Kv3e92TBcIZYIPtYK+JEsM9MZRVaVu6jAMrX6u/Z0RhndE6EuGkSSf2XSZaxNZcmUHv6o9bYwy1zufdE4MZtzREWAxZ2JVi3BBQ6enQ2VubglVVRidK3B1IoeuqTx6Xx8D3SlhNilV2NWXYCkzh+OJBt41yZTretyYylGs2LxxabFKfBIP7S/w+ReayWx2qcTfvTKO7YpK+8R8kc88ObTtwsz8colXzs9jWmIZL0ti+R80RH+JeERnZqnMQrZCtmARDxs8/1gUy2nuTyxLYG3RqL5YsXnx9IzIzyoyr52fRaWLkb4oAV3Z0PixfhtGUBQRYBiajKwo4gUgSTiOQzIeIRQK1qPjVpb7G5Hujel8/YXmS3B5PLcp6bbaze390GEMPsCkWyuMbVYgq5FA433RuIRu7LYluhe1fvztvpgb961rKl/4zBHeubGIZTkMdIa4MrpITypMPLJVNNl0Fmy23KpYDq+dn8O0XQ7v7mJnd5gjI0luTOdRFJmRvjgdYW3Dfr4Vy6Vieeiague5SEh8+62pel/ay2MZfu7EzjXL+0Z0RA08z6cnFSJoqFway9CdDHDiaC/7qw/i5HyBl06JtIeiyIzP5hjoDGDZPuMLRWzHR1UVDu5M0ZWFDg/LAAAgAElEQVQoUTE9kDyW8xbnbmW4PpnF8XySUQNJgneup/nMieb00IXRDLa70mNidLZAoewQDW0sBVuPVE5eWcJ1hdrCtD1KpktvKkDF8jF0GVWWuT6VYyknXuRnr6c5eXWJ3X1hAroiCmsIK/Pe/th6h61jMVsRPRNqRTNJYiFTZqRvYy31RqjJ1CxL4tCuJKcvzTC5IAwQe/pj7OoV0bBhBFdN+HCb0hSN5LhR+mX1CmKrWuZPOr1wt/GBI91GQ8NWWIkw/RasutvT0m43pwtSk/ysUrE4MBDj6kSGv3rxBo4rTAo//egg9+1tLeLeLNL1fZ+/f3mMpWwZSZKYmC/xwiODPHr/AA8dEmmEXNHkO2+M43geewcSjPTF6vu0HZcr48ss5St0J4SKYCFboWK79d4JxYrDpdHNDQzJmMGh4QTXp3LML5fpSQaJhTWujOfY2x9D1xSmF1dSOpbjMjpbYDlXYSlXwbI9+jpD+L5HqezTGdNZyJoUyh6pWIBYJIiiFjErNvmKA75QSxTLNq9emMexXfq7wtVmPg2pFUmqpy22A2uVbbk7GSQRNZicK6IoQrK2XBB9fG/N5siVHIqmC3js7ImQjIqX6pFdHZs2CwKRE1YVxJw3TUOWPTpX9T+wbJeLoxlM22NgR2jD6LcGSZKQJfj0E4PMpsW90d0RoFKxmlJajYaP2oQPVRXn26gr1jR1jcb42N4Ur16Yx/V8grpSbzG6EWRZ2rYm+72MDwzpyjLEYkGKxUrLb0Xf96uGBg3bdja16m4XrTjHapBludqDN7hGfnby8gK+LzSmnufz5qUFjuzburi0gvWJo2y6LGbKwjCgiOOPzuYZ6YuKKrnn8Tcv3WS5IHrTXpvI8pmndrJnsIPrExn+49+8Q7Fsoyoy8/EyR3en6E0G6sWXGpRVYcx6L6JdfVE832duuVyPgsqmzdXJHPft6iAR0evup2zRxvfB0MR+Xc+nWBERqef7/NzTO1nKmYzN5rk2laNimiQjGsvZMqWKjSrLRIIK/+UbF+sNWhZvZTm6J8XkYolM3sL3PY7uTW0aoW+Ero4gU9W2lq7n0ZsKcf9IB4Wyg6pIBA2Vl87MMLVQYjZdwfXB80HCIF90+KnjA/V9+b7PW5cXmVosYWgKT97X1bTSMTQF34eJhRKyLHF0Xxe7G6Lj0Zk8f/HiLdJ5E0NTGOoKc+LB3jXDPFd/P7WXT+8mjXc2mlAsy1JVX6wCEtFoGFVVmgwfDx8y2NkXEy/ZjsCWygghGdvafr8yuue9jfc96TZqbGVZbqmiLMsShqFXhxx65PPFu+54aSWfWjZdbs7mScaC7B/WyWaL68iE/FV/b106szrHlS+ZLGZNuuJBAoaCYajVfJnQhsqSX99/Omcymy4zs1SkYrlEghoXby2zeyDBX/7gOsWyaGKTzZssZStMzhd45ECKvs4Q04tFfCRChkIirOG4Hpbjcfb6MqFQgOFObU0lXJCUT77sIEsQDqj1x2ekL8pipszrlxbJ5E0USUZRJBRZNFYxLZVIQKUrHuDvXhmjYnrs6DDqy/XOhMFCVsP3QNcV4mGd0ZkcIV2qR1E/enuG3f1xelJhdvaKTl+O41QLl+vnMddb9j5+uItzQYVCySYZC3BgSPQyaExTHBnp4M3LC1VNsvjs2aLF4Cp53tnrNZOD+Pu33rT5xWd31u+Rk5cXMS2PoR0RfAluTWW5cDPNoV0dSJLEqxfmyRdtFFnGcX3mMmVuTOdaIt1WsZw3yRRMBroiaKoYGiqckC7BYIB0Olv9fpsNH4O9SXYNbmz4aDyF95I54m7gfUu6G1l1N3OBib4IBpqmYllWtdmy3TLhNs7xamFrNnrrqqpCvuLw/37nGrmCSalio2kKyahBbyrEJx4fqlex9w3FOXV5oV7B3TcYv60ba3Q2xxsX5sXxFYXnjg/y/PFBvv/mOJbtMrAjylP391G7dqoscX0yQ9kSRFMoO/zg9BR7h+IUq3PRyhUX0xHEbloer19Y5OdODPHAngHO3RAmjCsTWa5NZlnMmliuWG6+I8PPPDXUNJOsNxUkW7DqBo1k1GDfoCAH3/e5MLrMQqZMRzSAJEtcncjiuiL36Xo+3R1BlnIVimWRE03nTY7uTRILiUZFiiQxnzXrX00tdWDZLpfGMsiSxFKmTNBQ+OWPjpDTvIZJxUEyBYvT1+axbZc9A1EGuiJrnFgg8qoP7F7f5WbZwv3nV7eLh3XyZZuy6dLTYfD0/d1N24tC6srfMwUT0/bq0jzLETPDHMdlPlvBdnxeubBAOm/x1P3dohDX8Dh4nmgUvxnyJYuZpTLxgERsnfFKjXjtwjyvnBdmgI6ozi8+u6veVnL1c3I7ho/G6cSW9d4n01bxviRdobNd+/ON8qgbWXXD4cA287StaTMd1+Mff3yLdM4kqMv81KODhANak7Him69dIVeo4PsiqvSAsKEwMZfn1XOzPH20D4BHD3WTjBosZCr0pEKM9G1eXNnoepy/ma43i/Z9n7cuzPDCI4P8k0/sx3Y8kokwtu3Wl4uTi0WcVS+juXSZP/naRRRZwvf8JgmXLEs4ns/kQon7diXFMrP64phcLJItWCTjQvCfL5vcmMpxYHilYn1jusBQd5hMUa+6szQyBZuuhMKfffs6p64u4SORzlsMdIkuZd0dBppayx/b5EtOXdssSxKj1YKg6bgEdQVFAtvz0RSZFx4ZZmI2Q3q5guv6xGOCLMqmy4XRLE9EjLq+uGI5fP3VSdxq39mJuRyfeHwn0WiYjo54PVqz7eZ+CY3fw3dOTnNpNIMEDHWHMS0PTZVJxQJIEhze2UG42g9hOW9ycSzDbLqE1ZAjDwVUdG2FhfcPxrk8lmGp5OB64gUUCqjcnClwdG+Swa4w88tllrImxYqNaSssZCs4rhga+p2T02QKFomIzgsP9zG3XOEHZ2arPYF9nj/Wy77B9SVrtuPxxsUFJETqK1e0eeX8PJ94dKB+T7QSnGxm+KiRsSzLhMMhYrHIlgMx25Huu4DN1QjNpFtz6qjq+lbd2y+ObX4zfefNCS6OLqMoCo7j8I1Xfb7wM/chxvKYWNbKQ+n7Pq7nIVVDGkmSKJSb82R7BxPsXX9sWEvQdQ1d13E8G9t28D0fS1J48fQU+bLNSG+URxKRpusa0lV0Va6rN7xq4O5Dffx5NCjG2NQiVkmWGOgKs3rhoCpyfSktUWs52ZzrtW0X1/PpiIhxMU5Dt63rkzlkSapLwiYXioQNmYql1klX0xQiIYlS9do5rsd0uoxle5RNkU996kg3A11h+rrC7BrsYmFxmW+8Os6NmQKz6TKhgEokpNXzxTXML1cwHRelmgIBuDy2yFBfnOXlPODXCaJ5+oEghLNX5rg0mqlfx0vjWWIRBXELSHREgyRjIr+cL9l8680pHMdDQqwwOg1xvT9ypLtpXFB3Msinnxzi229Mkik5dCeD+J6Hi7hOzx7rJRHR+ebrE6iKRCykMbVQ5PunZjBtl9m06L4zmy7z/dMzlE0H1xP3uOt6nLy8uCHpup5fvxb1nzWkvu60SU0jGQcCRt3Ztt5ATMdx+JVf+RU6O7sYHh5h164RDh48THf3dmof66Oxl+7k5ARf+tLvIkkSIyO7+eIXfxtZltf00j106L5N9/m+I93NXp4rU3WbrbrF4sZW3e3JwFoj6aWcCVWJmaqqZAoWlYrdVHR4aH8XN6dzlE1XTAE2VOaWy1iOi64rOK53x30Bav0PVFVhYjbL5bFlVEUWfXQ9j5szeTwPXjcUkGWO7VupIo/0x3hgTydvXV6oT0MIGyohXUTKO5Ih/uknDvCnX7/ExSqhHBmJ89SRHiQJOiIG2aJVtbSGiAQUlgs2kqPQ3xlipHdF1nTm2hKXxzKMzxUJBRQGusKkYgadVeeWoohJya4liFlVZPYOJJicL6Iqooj2yIEuQgGVH789S9ly6IyHOXllUVhukfDxOXM9zUcf7q9X2d++nubs9TSqJFGyXFzXpycZXNMEJx7WmxJFnucTDYhCkejvun60ViOIbNFGURUhO0RCURVS8QABTUGSIRTQ2D8kVjC3ZvLC0IF4AXcnAjxysItDG/TH7U2F+OyJnbx0dp6K5WB5omtYNCT01Mf2pfjxO3MEjRVCzBasNRMt8iW74d4WD5mzycMW0BV290W5NiVeiKoicV/DOd7JnLXVaCTwjQZi/uZv/hbXr1/jxo1b/OM/fp2XXvoBv/u7X7qj467upfuHf/h/86u/+s85duxhfv/3/09+/OMf0tPTu6aX7n/+z3+26X7fd6S7GWoNYMC/61bdlWNsvU1HLMBitgJIeJ5LyFDWVHm7kyF++YW9XBkX+cS/evEm6XwFTVWYXijwnTcn+MTj63eC2iq3LFx0Br4vnFDffu0mk/NFDE1Mql3KllnO25Qqou9CyXJ46dQUx/atdCeXJIlf+5lDPPdQhh+fnWEhW6FYFtsjS1Qslz/71lUiIZ1feHaEi6PLFCs2X3t5jE8/McSjh7sYnyviuB5DO8KoqsxsukI8FiGkOvXrvpCpcH0yR8BQGemPkslbpGIGT93fU4/qnn2wl6+/NoEsScIttq+L7oRBZ9wQ4+T3pOpL8194dhcgXGFvXVqst7P0fZ9s0eTczTT7BhPE43BjMosPxCMGIcdFV2UeXKfvazyi8+DeFOduLuN5Prt6I6iKxNlrC8QMn9gGWt4aQQykDBTJx7RckESa4OefGWYpa+NLEodGOjE0BcdxSS6ZSEoWPI+x+QKFopC6uZ7Pkd3JdY8TDqj89KODjM/lkHyf3f3RJulbMmYwXx1E6vk+qYSBZXtki1b9PkpGDbqTQd66slS/Xgc2GXkE8Jknhzh5ZZFixWHPQIzBhmGad5N0W9nX0NAwQ0M7+djH3s1eupd58MGHAHjssSd48803GBoaXtNLd3l5ma4NpqvAB4R0xXQEsSy1bZdSaX0x/2psR9ZV234zSYqmCUfPZ0/s4S+/f4V0ziKoGXz88fVzAx3RAI8e6uZrP75FvmSJyNb3mVuuMJcu4/k+Pzo7zVLWpDsZ5IkjPU3DIVffhzWyFS66Cq7rEYuFWMqZQrGhKxgoWJaDZQvicz0Px/W5OpHl66/c4rljffUIW5Ik9g12sHcgwbkbaS6PLVOsOAQMlcVqQ/Ji2eKtS3MM98QI6BqLOYu3rixx4mgvu3ojTec41B0hHo+ytCQiY9fzSecr9ReZqsh0JgIkYwZLuQoXR0Xl++DOBPft7ODcrTRLBYtkLEy5bBIwVB7a17mu5EiWJA7tSnD66hK+52M7ErqiMDpbYGqxzGdORJBkCVWW8XzQVAVNlehKrG8+OTic4MBQHB84c3WJc7cyRKMWpWKZ4wc6m7p4rUYqHuBnnxrmzDVBaMcPdGIoEn1JnUDAAM9lcTGHqqrsHYgxPlfgjYtzlCoOHfEgsUiAt66mObS7E0OVmnKYZ64t8er5eXxk+juDfPqJgTWBxGeeHOR7J6cplB16UyGeOdqL63q8dFZiuWDREdF55mgPuqYw0BNndCZLMqKxZwtzhixLPHJwfY3tvSbddwOre+k2BmmhUJhisUCxWFjTS7dYLGy63/c16a626iqKvG0SvRuGhxrp+z5UKia27fJzT48Qi4XIZovr7EnA832+9qNbvHp+DstxAQlNlbFtF0OT+carY5y9tojv+bz8jsUr52Z54r4ePvHUbhrL0qvJdnWPgr7OMO9cX6r/PZUI4iNyebYjeh3UoqEzVxc5frB5Ho8kSdy/J8X9e1KoqsJ3T05yYyrLUq5CvmSLvGllmVQiQF9nBNPxicUiDVVooees9V4F4TJ789IiRdNmPlNhsCo5koCOmMF3T83gVeVyU4tFju1NMpuuUDZddNViR8Jg30BsU43npx4fxPNgfDZP2XLZW81P5ooWf/iXb1MomZRMm6CuomsKjx3qYk//xr0OanbUycUiSoO3/NZMYVPSFd9BiL5Vk4krpsOVyTypRIhkWObk5VlKFYf9QzFKpTjXp8TYItfxcDwfy4EdqWg9X5wvmrx+YVFYtxWYWCjy6vl5nn5A5DLLpsPN6TyJqM7nntnVdGxFVnjh+NopxfuGOhjsCm3ZI3grTMwXWMqapCIKmYLF5GKJWEjj6J7ktp65nxThrodGbimVikQiEcLhyJpeupHI5o7A9yXp6rpGMCisuo0kI8vSbakRQDRI+dbrE5RNm8HuKJ94fKipaLF6e3EeIrL1fSiVzDUV663O5eKtZW7N5AkHVHJFGbs65SEeMfjkE8P81+9cE9bOfKVa+Chx6uoC4ZDB8QOdDWTvUypVqJg2L78zS6ZgEg6oPHl/D/G4aG9YLNvcnM6hawoHhxJ8561JgoaN69kokiiAydW0webXTJzfUt6kYnmi4COJAtFS1iQW1OiKafVoVlEUNK1W+BBTXXfsSPHd03NoukZMVdE1Fdt22dUbYXdfjJl0CbcqhwJhN/6rl8bq3+9S3uLw8CAd0c0t0UFD5fPP7WIuXeLV8wuoqtjf6GweXdcIB1QCeohQQOPzz+4kFNjY8luDkN83fq/+hiPT7eq1WS83nyta/MWLoxQrVU2qL7TMsiRx6uoiT97fjTJbwPN98F0iARVNcurXVVUVciUb0xHqBlmW0WUZRdWIxyNMLxT4r9+5IVIIPjx2uIvj+zv57qlpskWbRFjnow/3EtBXd2BbIbma4687GVzzLGyGs9eXOHcrKyYoL5dwXJdwUBhcFrMVPrbOSPqN8F7S6O7du5/Tp09y7NjDvP76qxw79jD9/YNreukmEpunZd6XpKso8l216vq+z1+/eKOah4WZpTIhQ+W5h/rX3b45smwm2+3Asl1Kpo1lV29K12WwO8ovv7CXeER0h1rOVep6TEWWUSSJ6aUS4XCwSrYrx3/13ByTCwWKZYeZpSInLy/w8SdHeGBXnGeP9fPsMfF5fnR2mnhEJxxUmZgriBSD5+N5PkPdEUzbxXE9QoZav57XJ7Nkija9nRH29MfpiOjM2xVRqFOk6vnBweEYqiwxuVBkoCtcH7Ht+SbffH2SmbSJ5LsoikwyFkSWJSKhAN2pMB9/fFiYEKRlfClNseywnK9QrIhouubGcj2fWzMFRvpijM0WePOymIryxH071rW5didD9HeFqr0EQFZkoiEd2xLGAV2VWyJcEC/2vQMxro5n8T3hkuuIGbxzI03QUNnTL6KcH749y+sX5imbLn1dIf6H53c3GSTeuLRAoWQjK6KT183pPIau1AuFozN5nnuwlxvTeVRF4viBribydhyXgCrRGdNZzJrouobnuaInhWXz6rlZyqaHoWkgwds3suTLHuPzwlK9nDP53kn41BPNqa/a8/CN1yY4e20JH9jVG+Xzz+1qubB7aSwrOpR5HtmSGBkVro6xH5srbOs5/UmO6lmNX//1/4Xf+70v8Sd/8h8ZHt7JM888j6Io2+qlC+9T0i2VzA10uq2PvRHbiy+/YrmkcyulZ1mGueW1LRxlWUbTVFzXbYqwbxe6JrO4XKk2WvFJRAz+xWcPE6wSwAvHB/jbH91ifrmCVFUBKKogDNO0MM1mVUauaApb6LyIkGzH40dnJslmi5x4cOUFEg9r9ZyspsoEZIU9A3F298d56cwUl8cy6JrMoZ0d/MKzu7k8nuHyeBZFkbk1k+PAcJJdvVHCAZVb03lczyca0ujuCLBcsFm4vIDvSxwYivHoIZGq+NHbs5y+ulT14js4rkc4ICI0z/OJ9oZYWsqiaSq241IoOdyYyiDLMr2pEDNLYn6aoQmSSsaEdvkvXrxVtx6PzRb4wif3rRsBP3Kwi32DMVzXp6sjy+UJ0QTd83z6OkNUTIfXLy5gux6HdiY27VFwcDhBbyqIFggxv5Dh7etpao3glwsmyajBaxfmyRQsHMfj/M1l/q/Zt3nkYBcPH+ikvzPcnI+XwPE8JEe8vCzH4+Z0ns+d2FW39fq+v0bRIssSP39iJ6+cn0dVNYa7Qwx3i3x3uWLhONXirSThyhJLuQqKLCPJEpKmUnGgoyOGbTsUiiYT83lQdM5dX+TU1SW06rHGZgucvLzIY4fFd+m4nijM6sq6zdarHwkP0S2t8SnRFPldTC/c/Ui3sZfu0NAwf/RHX16zzXZ66cL7lHQ3gudtN9KtKh50hXhEZzkviNfzfbriKzm6Wucxz/NxHGfDrlsb7X+jm+bGVJ7uZIhcyUKWZSJBlcYGfwM7IvyLn7+P8bkir12YYylTxrHd+sSF1YiGdGaXS9jV/HDZdPApkS9UCBgqjx4SjifH9bEdv9o60Ge4N8pH7u/lG6+OcubqApIkUbbgwmiafTeTLOdNfN/HMm2QJKaXinz2IyO8cXGOoR0RLMcTfQw8l8nFErWObFcmchzb14mmyqSzZtMSVZElhnZE8HyfHR1B9vTH8DyPctnkjXMzREMKuibjuj4Vy2G4J0q2aBEN6zy4bwcvPDHCt18fxbS9qlsP8mWbqxPZOtGvRqIaKT/7YJhUIsfY9DLJqMGx/Sn+/Hs3WchWkCSJy+M5PndieNPeA4mIwY4dCc5emqnfc7IkMb1YEiYM26Niupi2i+fBom1yaUw48z7/7C6O7klyfSqH44KMRCSgYTpCm6wpMokGN9jkfJHvnpqmWLbpjAf49BODdbVG0FD56EN9JJNx8vliXSVzdE+SWzN5bEekrA4MxnA8n0yuXL8nA0mDUqlCOmfxvdNTLGfKnB89j+142LZLIhYgFtKRfDCrjXxsx+OvXxploboqPLQzzkdXrQgPDse5MJbH93y6OwKYtofteDiuSzKmc/LyIg/uS204vaIR76Wc7t3C+5J0N9LX3l56QXyxn3tmhH98fZyS6TLUHeG5h/rrZOs4HoVCue6S2caZrqsymJwv8PK5Wa5PZqmYDomIIZrOyFKTNbamhjgSCxMJavzVD67hehI/PD3F2HSOTz3R3O/18fu6sR0RhRRKtrCL+hCq9k14cG+n6NqVLtPTGQJfOLmuT2T53a+8SaniYFpi6W9oQryfyZuiCFZP5fioikIkpPH8wyvNWVzX4wenJtZc3xq6U0EujK7M6uuMB3jkUNeaXKHr+TieRzpn1odmpvMiR/2Lz+zk8EiKcDjI4mKGoCbItkZsQUNl12AniUS0ySFWM3jUIEkSTz3Qx6FBEc1OL5YYny9QMl3whej/j/72EsNdITE00he61OeP9TaNoJckkOTmL1eRJEb6ouiajGm7dRuNLImViOd5/N0rYzx6aAeff3YXb15OI8kSO7uDXBrLYrs+IUOhv0F+9YMz0xTKYlUznynzw7OzfPyxAd64uMCt2QKKDE8fG2YgtRLhD3VH+Pxzu7g+mSMa0hjqDvOD09Pkyw66KrN3IMZzx3oxTYs3LkyTy5U4f2uZslk17QDZvEk0pJOIBnjm+C6SMZ3vvzVOtmSjVZ2NF29luH8k2VRIPLonxZ6hTiZns+xIGERDGudupHnryiLZos2pa4vMpst88vG1SovVeC+lF+4W3pekuxHuRI3Q3xXhn336EEAD2Ta3eaw11NnO/pvM70CxbPPXL90UUajvkytZIEEiGuDpo33VUTUr0ypqaojTV+axHLEfSZK4MZWlULaJhlYiIl1T+OjxAY7sTvLn37vOXKZMNKTRETHwfNGcGyAa1OqffWaphOP6+J7w3fs+qJ5ITYQCCkM7gkSDOj9+Z4aK6RIwVB45uDaSvHArzexSicmFIh0Rg6ChMNIbrb9EHjvUxeRCkaWcQzQQ4GPHxSTZ89ViouV69ZxsZyLAlYkc0aBGyXQJaAqGrtTzpbVre2AwSlCXmJyv4AORoIKKTblsVouMYkCmLMu47krzmtUvwbJpM78s7LGO6+P5ENBkzhdtXM+lMxEiqCv8w6sT/POfPdgUoR3e2cHLuTkyeZOJhSLJqMG1yTw/dbyfP/3mNRzXQ5JBVcX8t0zBZrlgMTZboDsVolB2xLkbCvfvSVIoOyQiOs8d661/zmKl2eZatlyuTma5MpEV9msXfnh2is880U+woR1kTzJETzKE5/l89dvXyRQsgoaK7/vs7I3Wu6h5ns/scplC2a52PINQQAEkDg5GeepIDzgVcjkb03Kqz4FIhUiyQjAcIhoNNVlzh3pidIRX9OnLBXNlWKYkMbVYxLTdNYW81Wh1KOXtaO5/UvhAke6dwjB0AoG72VN3bUQ+NpenWLbrvQl6kiEO70ryqY+IQotSnSlUI9saVvd7lWVpRba0Ct3JEMm4weXxDMt5i0y+wgvHB+o3+FP395ArWswsiRlr0ZCG4/lif77o24svZp59/+Q0HTGDF44P4HkQCWt0JqNNUrjxuTwXbi2jqjLD3RGyeYuH9qU4XHUoeZ7P370ywcJyBU3XiIY0diSCXBhd5r9//wbLeTFi5+SlRf7nzx7gI/f3cGU8S6Gs0NepEA5qpGLGmmtfKDtMLZaqzY8kyqbL7//3d3hgd5KK49ER0QkFVJ64r5tENFC3j+q66IPR1ZXEcRxmzi9i6Ap2ya1bmAWZebieKHgGdYV8SRhKagWxQsnieyenWcpWGJ8vEguLl8T3T04Tj2gcGIozNlsQqgQZimUxBj1btMkXbWbSZfYOJJAkyJVseqt5+MmFEm9cWODJ+7uRJIneZJDx+UJdstaXCpIr2riez/RiCdv1CBg6M4ulutPP830ujmaoWC6pmE46V6lLniRJYmqhxANVs8XuvijfPTmNXFWh+D5YlsfBnQk+89Rw/d6zbYd9/RHO3RDdzXzfpzsZpCMkJGyNLzpJgmg0jGXZ9Vl4jfevqsgtFeZE6ui9MZTybuEDR7qtNqVp3D4QWGlgns+XNxxFcjd0vTs6gqiKVH+4fR/2DCZIVnPIpZK5xr0G8OjhHYzN5ckVbZA8ju3rwsfnq9+6wo2pLLqq8PxD/Tx2uJtbMzkujWaIhTUcV+ThtIYISDcpTGwAACAASURBVFVkPvPUTmRZ4v976RZnri5QMh0UWaIzHqArEWRirkA4oKEoEtmCyVuXF/jow83LwbHZPJmCSbZgVZeBYhmudwSIhfX6thfHMkwvilFDqiIzuVDk8niWH709w1LOqvdjWC5YfPfkNP/sU/v55OOD/PDtWSqmcIodP7C2Ebrr+djuyjX2fMgULU5eTWPbDv07QrguXBzN8NyxPu7blSBfdrg4liUY0NndGyYZC6CrMtGQhqEpZApmvTuX54mo13ZFE25JlvirF2+hKBKPHepibHGeifkCruf//+y9d5Bl93Xf+bnx5dg5T3fP9MxgAsJgAAxAgCAA5iiSpixqFSjLsl3eWtu10q4s22v5D21pt+T1qspbsrxeS1qvJcqmyFqahEgKIDEEARDAZEyens65Xw733Xz3j999r7snAwRXAq1ThZoZ9O377rvh3PM75xtoGE6oWwC1psNaWWJyMNURLU/GVE5cLmB7dCB2juPTaDkkYuIxfP1SATdczVxfrhGNKBzZ283Hj43w/bNrNE2X/nyMo/u6Wd40eOHkSsfSx/V8ZlfqTAykCIKA751aZbXUQg4T9fbrFgQB6fjWoz/SlwyHjwGWI2jNubTOr3xy703tn1wqwuee2sWl+SqaKvHgnq6wut15z3Z352i1RKKPRHSee3ScquGxURaGq8cO9JKIR3eYYt4q2i+au8V7RUsX3qNJ9170F+62JJEkUdlKkoCg3SnZbv/ct9deuHn77kyMZx8e4bXza/hBwANTvTx6cBDHEXqtt0q4IIZkP/uhPcyt1unOJRjqSfBvv3ae1y+td7QRvnJ8JlxmawQI6JGuCXSAZW99tzZdWtc1vvDsbhJRhVLNYqXYRFNEnzQW1UiFMn2eH7C03uDqYpXdwylA4sTlTc7PlpAliUbLRpEgnRAVoCxLdGW2+ott8ZatzwfH86nUdgLwA6BSt7kwVyaT0PnC0+NhC0W7ZVWUSYgKeLNidnYgSRKO64UIgAZq2CuXpVWapsPMSh3XE/3yC9c3+cyTYzy0J8uluSLTyzUimkIqrmGYHrGoSjYZCROHQtN0WS62sGyXi/MV4lEdAi9coUjUw8Tr+wGoMquhiI5phxV0e7WCWLlENYlCpUWtqRCPyLQsFy1c6QQBzK42OLJXDCKfPTK447sP9yboz8fZKLeQJRgdSGOGKyPL8cRAL4SjeX7ASG+CWtPBtF1GelMcO7glI6kqMmP9SWQJNF3Dtmw+8NDgbZ0rcqkIjx+89bCyHbIsYZr2jufwo0f7qRkumVSUTDIaausqSNLO9s926x+RdO+t0v3r9sJfUtxNCUySJCIRjUhED1lSPqZp39OF9Twfw3TfRsV7a9rw/Xu6BMEjKogKjUaLSES/q/tsVFfZN5br9Hs3Ki3cbZWe4/gsrjf4qafG6c3F2Qxhb6m4yoHxLJWGRU8+STwWwbadjoX7hx4ZQdNUZEXmzOV1FEXi6mKFtaKBabtML9dJJzRqLZv96zk++4EkVxbKnSooGdMJfJ94VEWRJA6MZ0lsw73uG8tw8qoYnsRdn560zt6RNFfGMiwWDLYXOumExtxaA88L2DOUZrQvwQ8vCMHv+3fn6da39itJEn//M/v4gz+fpt5yaBg2uqoIc0kg8CGQA7wA1sot4UALnRaOZXtcX65zYFeWn/3QJOslE8sWD//L5zbIZyKda1KpWTQMob1shHbqgECBeJCKa5hVCwnQVRmkAMf12Cy3GOpJkEtHqDaEVq2qymQSGr4f0JdPEACJiBRqVYR3ThDsQDC4nqiKYxGVSJgMJwaTJCJCSCcW1cglxeMsSxKyLCyVrq/UMUyXZEzjs0+NcWgid8t797NPjvLSmXUCWaUrKfPwHSyW7iVuVfioikw+pQM+jYaxY9vt6mGRiB46T2x5t7X/vNH6570YP8FJd2eI6k5IHDqO03GLSKXi3MuyZHalxjdfm8dyAzJxjc89PU4udWdX3jZkrB2qquD6Er//1TOslwyCAA6O5/npZye5m4nkrSKXjmzrw4lebDSktP7tT+7n+OkVNF2lOx3hxZMruB4k4yrPHRm6CcsqAPo1LsyWCICDE3ny6SjfP7NMOqmTimnYjs/l2TKlh01uHBD25WN84MFbS+lVmw6G5WHZHq7vcGA0TVRX+fijI9SbDpcXqkhITA4lGOoVU3tFkZhZrfHGlQLNUAHr+nKNn/3QHpLJ+LbPjfPrP3sYzw948eQyr5zfDGUifRzHJwhAkwV8bna5hu2JXvVAV4KGYXHmWoFzMyUcx8dyPJJxDU2WSMa1TmL1vICR/iRvzZaxHdHLjEZU9u/KsbBaRVNl+nNpxgaEDKVoSwhh9UcP9IbJ2ufBqW521VoYpk+95RDRFQZ7kvi+0ON9cCrGzEoN0/aZGEzxgXCYVm1YfPfUGo2WjaYqPHpfD+MDKY7d18ubVwrUDYfRwSxTA+J+1DWFA+M5nn9tqWOpFIsovHRmlQPjOW5l/RbRVT762AhdXRk2N8tv6z78UWOn9c92vLxENivso7b3i4PA31EVLy8vk0qlicXejmnrvceXvvRFEgnh6jE4OMSnPvVZfvd3fwdVVTh69DF+6Zd+5W3t7yc+6W5fSm+v7nZuf/f9vnhiCcN0UTWVUs3kxZPLfP7pyXs4FpFsYzHhRPtn373KWrHZwbKeu17kqQcG2DWo3fPyqC3U8zeenqDedJhdraHIEoPdcSaHRU8vGdP4+ONjpNNx/vCbl0KpSZ+GYfP6xXU+8ujojn1uVlo8/8ocdtjeeOnUCp97/zhXF6sUQoUqEG0BTVU4NJHj1NWiaM/IEocmblbAqjZsLi9UOHmlSKVhk0lG0HWNC/MVPvDQIImYxt/6+N6O/9n3z65Rb20RPoo1m6bh0LJd6oYLBJy4vMnHezKd8wChiaQs8eThflRFxg6HUdcWqziujxcEBEFAveWgKDKbFYdyzaIrE+HUtSJRXaivSUgMdscY7E6gKQED+Ti26zOQj/HN1xept7aQD/m0Si4dRZV8HjvQSyKi8PwPlxjrS7BabOL5Eh85NsxwT5o3Lm4SjSq4nsdq0aRpe1QNh/Jag42yGSIJFB4/0MtPPTnWuYf9IODMtaKw7FHoVLinrxYZH0ihawpPhG2Cvr4u1teLnXP3wO4uri7UCBCVtyQJ00zH9VBugxh4tzCx79Z+/FA/WWhQb90X2wXOVVXhn/7T3+D69WkGBgaZmNjNkSNH+fSnP/sjfz6AFep1bidF/OIvfpHf+q3/lcHBIX7t1/4BV65cZu/effe8z/dk0r1zT7ctdH7nZLu1/b21CtbLLTYqLSRJJhVT76pRAFt9YwhotewQN+rv/DxJHMPb6Re3t10rGowPptg1kGBpw8CwXJ5/bZG51QaffXqy8+Zvtewd7Dn3Fs6qi2sNmqbDtYUyjhcQiyi8NZNhz1BaUJEdn7phk0tHmFmucmAiT28uTqlmMtybIBnTcV27c208P+DklQI+YHuCKCBLErqucWNF325T7BtN8+blIrWmTbFmMdgVY61osFERpAUCkXSfe2ycs9Mlzs+WsGyfqZE0B8ZzpOIa7zvUx3qpxZGpLl4+p1OomsR0Ye1uOQIG54WK7KbtYjk+lm3j+QGKIlGoygQBjPUnOwyslYLBzHK9AxULAiEm05ONMTUQZ7ArzuWFKtGIwmrJIKYr9OXjnJ8uIgfwwKQwYdys2CxuCNeSatMmIKDadFhYb/Arnz7AxEhmB+zqa9+f5+pSjVpoYbR3JE00omKHAu9b8o23fiYOjGdZ2GxC+NIZ6kl0Evet4u0MoO8U766WrnzTIO1G/eLf+71/i23bLC+vMTMzfdNQ70eJ6elrmKbJP/pHfx/P8/ilX/oVHMdmaEhg1B955BgnT77xk5907xRBEISCONE7Jtvt298t6a6XDYo1k5YlMIqm5fDwbSTtgI6IuqLIuK63g8H22IFeLsyWqTQEtnTfaJaB7gRvr70QMLtS54WTywAUKialuhmaAypcXayyUTHJuz6xmM5IX5Jri5UO0HxXf/KmPWbTOpfmy9jhy8R2PN64vM7/8MUH0VSFk1c3SCVUdg9lWd1sUKsZPLCnm/6ueAf9IUkSnidICbPLFeotl2RcY6QnQalm4Xo+fhBw367sDhJIO3pzcUZ7W/ynl4Qg99XFCrYrKh5NlejOCBeQM1c2eO3iBisFg2bL4Y3Lm0RUmWw6yqceH+bI3h7qhs0Du/NcW65hOz6aKhEEQkRcloRPmWl5HbSAJEHgB+iqTKPl0J/famE4XvtFubWtIIeM8r03pvn6KyXKoeNupeFQbdgUqoJYENVV9o2OslowuLpQxTCdzmBNkiRiEQVVlQl8QQSJxaJomsJGucX1lQaaqhCLqNSaNhsVi+EehdHe5A337K1nGAfGc3hBwOX5CtlkhA88OHDHe/3dSpY1w+G7Z66yWWqQS0V4//39t7ze9xLimO4+b9H1CLt372H37j3v6HNuF9FolJ/5mZ/jk5/8DIuLC/zqr/53O1TE4vE4KyvLb2ufPzFJV5hOisrWdb27Jtt23EuFObciBkkC6iOhKRK55M39o52OFcK6/EapyVwqyt/51H5OXysQjSg8vK93h0bu3cIwHY6fWeXSfJli1SSfjuAjoE2uH6BLQm+1Wm+RDWFBH3homJblsFIwmBzKcHDiZuNE1/VRZbCCoANnW1hrUGvaPHJfL4bt7nA0qDWdDonEcTyq1SaWZSErMv/Pd65z+uomthMwPphiz1gOXRWOtIPdCT766MhtB5cnr5ZwvADPB9MJINTT8H3Ri1VC/OxmuYXvB7QsF98HxxN///abK9huwGa5RYBw4X1kfw+HJ7J8+cVZqoaLpkioikKlaXVSVRBAVJPIpSJEdIXH7uumXBdebqoiMzmU4spiDc/z0VWFjz02zP/9/EXOT28KggsSU6NpKnVLYJ4VmUrDZnZVaDxcW6qhaQrdmajA1roesYhCRFMwTZfzM0XwPYZDR+By3cLzPCRJIR7VkGWJwd4UTz4wxMGJ/DavMDdcht98ry9tNvnh+Q0qTYdMwmbfaIbRvptfuO14t5Lu8TOrNC2xujHMJq+eX+f9Dwy8o321DVn/smJkZJThYQGVHB0dI5lMUq/XOj83DOOuUo43xns26baT1HaHX8uyabUsoXB0jxfqXirdoZ4EmqqSScooskKAv0MQ5cZk23as0HXtlok0ldA7xpNv5zgAXjy1Qr1p43o+tabQbOjJxqkbDrIEjusy2BVnOKSRBgGcnS5wZaEa9pALJGIqR/fthPwkYzqZZATDdEPHWNGP/vIL0zx2oI/1UpONkomiSEwO5+jLJ1BVlUZDQKjaLYLX3lrn5OUN2pInF2fLXJ4vi6Smq7xxcZ2x/hSffHIyrIq9Ds5zOxnE98NrjGg/+EGA6wU8sr+XA5Nd/PG3r4Q+ajt982zXZ2a5Si4tcM8ty2WjbLJ3JMOv/sxhGobNaxcLVJoub15cx/dd/CBAkSUimkp/V4yHproo123hVRZW5xMDKQ5P5CjWLI4d7AVkjp+d6ZBUDNNhrdASx9I+8dKW9XobBdGfj5FJamHbQ6FheowPpHHdgFPXiiRiGrlUhFxS58CuLBfmq0gEdKUjfPLRAapNmxMXV5kazZJOxkgmYx00RiaTZL3Y5Npimf5cjJfPrdMMRY0My+Plc+v87AdvTrrbe+PvRoKrGw6SrHT2Kfrx7yzuFaf744pvfvPrXL8+za/+6q9TKGximibRaJTl5SUGB4d4443X+NKX/isZpMmyTCymo2k7HX51Xb2n5NWOe3GPGO5N8vC+bl48sQySy9F9vUwOZ26bbLfv+93EDvpBQLUuxNp7cwkM06VluUR1mc+/fwIvEGIpR/Z2I0sSlu0Rjfq88OYiK0UDVYaebJRLc+Wbkm5/V4yPHhvnPzx/ES8ATRFV+tXFKnNrdVqWR0RTsF2PCzMlenNRri8WyWeiGC0XTZU5OJ6maTq02ySeLxa9QYhRtRwPTZO5PFvgkamscHpVhMbDqatFHC9gciTPcrGF75m0pC3mkqZKPH6glwenujh9tcBQT5yZlTqKLKBh7eVrLqkRj21BrSRJVMYgBn6ZpHAQjuoB8aiK6/vISKQSGj2ZKJ96YpSIpvDq+fXO78mSxFqpxeef3kVUVzBtj6bp0bJcTMsRluqygGllkhE81xNEEFXigd153rxcYGmzyVqpRS4doTsd4Wefm8T3YX7TxLIdfM9HlmQ2Kya5lGDfffKJUfaOVmkYDpIMX3t5gWrDIpuKcPLyBh8/NtJhMeZyKc5Nb/An37mO6XjieyqCUh6ElbAgkuzs256bLnLyWgnP89k7luPjT0x0fua4fke28+1ENhWhXBd9aAF92ymbuVYyqBsuwz3xO4rQv534cWF0P/GJT/Nbv/Wb/L2/97eQJIl//I//JyRJ5l/8i3+K7/scPfooBw7c2YjyxnjPJt1kMorjuFSrNzr8vl0Cw90To2E6XJwtk06IPu3Mco3VssmekRy/++VTzKzUiEdU/vYn99Ob365Mde992jsdh+UIXKiuKqTiOnaIzR3uSTDal+SJQwKqdfz0Cq+cW+WFE8IuXBAUJOZW63i+GL5Yjk9X5tYuBx9/Ypyl9SonLm/SslxsxyOXirBSMHBdH12TcT0fPRTDeeWtdQ5O5BnqSeD7Qvzk/t15Xj2/QbkuhmqaIspQL3zwbcfDMB0uzVfwvIDNisnlhQqxiEImGSHwhfW3H8i8db1I03IBiV0DKbrySVZLFq7rc2A8Tz4VoVy3hIFiIJThPnx0iFPTRQzT61RJwzc4Njw0lef7b20y2BXDtD0khM/Yh44OdQZNN9KuJQneminzxqUCluuTS+lYjkc1ND1NxzV+/qO7iesaL55coWW7TA6mySZ1vvHaEgCZhEqtYfHYvi7G+lNU6hYz61vIEM/3yaZ2vjBA4qUza0KwPBwEIok2yFszZR4/2CvaXn7AH3/7Wsfht9a0ySQ1MnEdWZFBgvsmuunt7eq4eRTKBq9dKnYGbRfmygz1bNKf0/j2G8uslwwM02PvaJqnHxjoKJvdLT748DCvnF+nVDHIpfTOQBLg5JUCl+bFfOHMtMwHHx7sqL/dGH/ZrQUATdNuaXDZlnt8J/GeTbq1mnHL5Ppu6CPcGIvrDeqGgBtJ4RDm8myZb/5gltcvrodTGPidL5/jf/l7j3Y+/50gEm78Li+dXmF+rY4sSzy0t4+PPL6LF99YwHJ9erIxHjvQR7Fq8n989QLza6LXFACJmN6x4nHCJbIiS9iOx/2TN/d0gwAuXC/w+oV1Kg2RMGUZ1ktGh/HmuGI574XohwDRR22H7Xp0paP88seneOX8BqWayWqphWULE0SQGBtIs28sx9WFCk3TE1q2todpeyRignnmuj7vO9yDaVksrDeI6CqqFNCdFg+nosgkk3GmUnFalsvDU92kE2pHVezJw/1cnq9wca6Mqiq8fqnAwYkcg6FUY39Xki88k2F6bpPvnV5lbr2BrsodZwkQRIylzSY1wyEIBFHjzcsFXC9AkSTmVmu0LFEJBoFYhdTqDn0jcTRN5tJ8g8UNIeTuuD6GaWNYwhni4kIVy4WnH+jnob29nL68iidJ7B3M0pvdeiFuVky+/so8G2UTLwgwTBfbEZVrPKry1vUSlYbFgfE8Y6iU6nbnJvI8H6Pl0JcVL5b7J3Mc3ZNhfb3YcfMoVIU/naqFbbAAGqbLqasNSjWTpU2BJf/hxU1qTYfPPjVG5C4CNQDJuM4nnhinVtvpFeZ6fkeXWfw74Pxshfcd6rvVbt5ma+G9wUaD93DSvV1Ce7d8z7ZHX3eciK52SAieF5CKq8yv1cMqzifwAzarBvOrdXYNpqk1bV45v0aj5aLJEo8f6qM3d3t91nZVHAQBp0Ppu2rDomU5xGNRJEni5JUNerI6n3hiF8lklFrNIAgC/viFaZYLTfyAzhDMMB2h6+p5wldMU1BlmbGBJAe3ucrajsfLZ1epNCzOTpeot1wURcb3fXwfzG304S29iIBK0yYZVekKE6EfCJiZZXv0d8X57FNjIQKiwPJGk2RcJxGVyeXS1OsGrh90KnhNFRW04/ooskQ8omBYLmdnSlxfqiFJEg9P5RnujuIGoRTjaoW64ZCMa6gHetB1jXg8Jggorsf8pk1P3gmvlxAS799mOxOLqFyYr3DqmvCOK9dt/vS7s/yPXzyMIkvEIiqfeXKMlUKTqC7EWl46sypaIpKE54vqMhIuj4U+sceJKwVePLHSOVerRUHT9bwAN0yWmUSE6eUqxarJR56Y5KOPjdxSEH96ucZaqUUrtJ73fZEUDculWLfpy0bxgoDFDYOPHlNIxlXKNVvIUYYU2lhEIRZR2KiYoSuF1HHzyMbEUNiyhNKdqqqM9qU4UTZomL6wY/KEXnGpYfPS2Q0OjGdvWjncGLfrDQfBduW9rXvp9vu599nMeynes0n3dvFuJl1FkYnFImQyCT706CgvnVwiAO6bynFkbzcvnljC22wIGqsktFS/8cMF3n//AF/9/gxrIeWzLxdjo9ziFz6297Y4yfZL5PS1ImevFVAUhWLNxDA9xgd0PF8IjteaDgNdWzeuYblsVsQAZztyyPOEbKSE6H/Lkli+Hp7o6qiT1Q2b//Ctq5TrFj2ZCPWW0zkfAh/pExoUi/+AqC6U0apNu+MiPNbvCbFrJL71+iIN0yWqyVSbDsM9SfKZCHtHMqyVWpy8vE6jadGV1lEUwRRLRRU2q6I33ZONcnh3nj9/fYnZlUanijxxtcwHjzY7rZFCxcTzxXL7B6eXeOJQXyehKorMtYUShZrof3alY9iuTyKRQFXa7QKJQhv/G0a5bu1QEVMVmdG+FGeni5yZLlFtOliORUxXiGoysixhh2pbqbjKWF+Sl86uhy8/cSEcx6MnG6VleQSOT0STWVxvMr1SgyDgjStFfuHDkxwMFdm2x7nrJWo3DKHkkFTj+wGG7aG3HFKJCBsVk4f2dHF+powZJuk2UqFUs6g0bWKvLfLUA/2d5Xw0ovKJY8O8ebmA5wU8uLePoe4YcymVQsWgZQkmoOTDlYUqILNeNnns0CDHDvZvwxS7He0QuH1bQFNldvUnmV9vhn53sHfk9kagAuL4k6UwBn+ddG9ZMSuKTDQa4cp8iSvziySiKo/e18sDk0L3QJKEmMff+fR+/tm/e5N6y0GWJPpyMWoNixdPLtNsueHyCEo1k1hEYb1kMNp3Z3jJZqUVYl6FLc9muYLrxZEkiYiqMNKb2HHMsYhKOq7Tsjy8uoXtCxnBmK5C4OP4kI7rITxJpr9LJK2m6fBHf36V68sVXE+A9FMJjZbl4LpCtCUfVrGm7YVIgYCHpnpw3IC1ktB90DWZq4s1HprqQlMUlgoG5YYYDAXhgY71J5lernFlscbMagM/lCQ8ujffsSXvz8cZ60txJOT8W+FnSpKwgfT9gBdOLrNcaFGoiBVAMqaxUbUo1W2O7uvuSFe+dn6dlUKDYs1irdCgJxOhYXqsF+qkEjr7xvIkkxF2DeU5da3UuQ968/FQn1gkDD9c0l9eqFKsWeTTUWpNm4iucN9YllrL4/J8CVmSScY11ssmIz0JbMfDDUtdVRH3harKbJTEy3Fps9FhW9WaNn/ywgy/+aUHb8Kyzq/f2km609wJgo4zRCquceTYCOMDqRBGF3BxvkqlYbNZMZFlifWKybfeWOYLT4930BQ92Rgfe0z4pKVScTwv4P7JPK9d2MAwPVzf77g4R1RwHJcfnlti/3AcTdPQNKWzwpBCuKIkCQiisGba0krw/YDDk3l6slFsx2ekL3Hbfi7cO5rivaSlCz+RSfedD9LayVZVZX5wZonnX52j2XJomi6vX1znv/3cQWBrmptNRfn5j+zlhRNL4s1NW+d2pwNs24Ilv03vYKNksFo06OsSQtPthyCfFcpRvu+hKRK7RzKM9aWQJLh/d1eYWLYqXVmS+Oz7J3j+h/N0ZSI0Wg4D+XiI8/QpN0X1SgADXQnu2yVaC2eni6yVmrg+BCE7q78rTncqQl8+Tiap8cyRYb5/WmCCdU3B81w2Ki3hVxb2eddLLRQZzk7D4YksNcPpjMclWaJQNRnrT9JoOSxuNIlHNDzfw/d83rxSIhJib0s1i2vLVQ5P5qg0bAZ7EmiyjBM+9BFV5sx0CVWWcX2fAImG6aLrSqi0JXXO9dJmk2xSIAAM02Wl2GKsL4nreVyeL7OwXueBqV5sy+Spw30sbDZJRHW+8NweentzLG/W+cqL11grNOntiqJKwjao1rRpmC4N0+WtmRLRqMZgV7wzYLo4XyEeUYnqCrYj5CFVRcYPxHXqzcXY1ZfgL06tEpgekphvYTse566XOi+cdsjSFtSs3dv02n96ooL1/YCj+/t4eF8f9XqjUzEHIcTutQsbaKpMdyaCLElU6jbNbdX89mgTESRJYs9QBsJ9rJfFimB7YhOsMAvT3Pn7mqaGMDaZVErACn3fp1xt8vwrc5RrJqos8cj+7jsmXPirMUj7ccR7Num+W9einXQTCSFybZo2zabDW9NCSKRQaREAl+bK/OkL03zpkwd23HwP7+tho9xieqmKqso8ebifmuFQP7OK4/pCRDoT5ZmHhkiGLg+XF8r84Nxap7P1zMMjPLC3jyAIuH8iy0axQaEiquMn7x9moCtxwzHvfLFMDqX54gf3MLNc4dJcmULNxnY8kjFR1ZUbFveNZTl2qL/zMljaMKg0bAigZXuoMvR2xfipJ3btmFI/d3SY544Os1ps8oOza9huwFqRzhLX8wMkWQYCri3XUSQJXxLKZtWmjabK+F7AaG+S09fKnWW3aXvh95Bomy7mzAgX56sC50nA1EiaubUGtusiIdEyPZCE/1tb63ajJM7TatHoWOkosui5ZhI6mYROy3JZ3GyGlF+301uXJaGI9pkn1BLDJwAAIABJREFUx9pnlvX1Iv/zH51maVOgAC7Nw9RoFkmWqRlO2KsNKNdtMgGYloSuStQMl7phk4iqxKMq8ShhxQtjvQkGu+P05mKM9iVZr5i8en4DPwBNk8mnIx2Shu14zKzWyaUiPHGwl2+8tiQqTXGKUTUJ2xbykImYSiap8/D+npsKDUmSeOJQH7qmcGa62HkpRcMe761iO+vuqfv7sByPQtUkGdcwbQGRK9UtBvJxTlwucGRv145nIQgCbNvB8yJYloNpCp6uosi8fHadlukSiwo1vctLTY4cGO4wGLcTPbYfz18P0t4jca+auqKyFYnwRrqupso0TWfL40qWmFurY9ku8W1qRpIk8fHHx25a4uRTEVZLBlNj3Yx071QjO3+9hISEosjIiszpK5tMDCRJpRJEdZWebIzppSrlmhDE6c/Hb7l8arRs/ssrC9QNC9cLKFZNXN8nE4+wdzTHWH+KnlyM+ya68d0twkYspuP4PjFd6bgg66rKcE+KePTWt8RmuYWiSPR3xVkpCq1W2/ZAgu50lL58grphc3gyz2rJCCu7KF2pCAfGswx2J6gaDi+/tYnb8sgkNBRFFlY0ErRMF5mAt2ZKVBs2luOjSJBJ6ri+hm0L5TDLCVDkLdZcABiWx+/86Xn+xtPjPHV/Pwcncpy6WiIIBIstoik0WoI84noBToi/DUJEx/ZY2myyvLkF4wqAlc06hydzzK2CHEgECIGdaEQVsLeqTS00zaw07A7Kw/V8cskIqiITj6qdHusXn5uk2XJZKRjIiowiy3SlhTHq//mNq6wUmh0N3c8/vYuZFeE2slZqYbs+ge8REJCOC4x4o+VyOynTI1NdVBo2y4UmuiJz7GDvHRwbtp4ZXVP4+LEte/ZizeTPjs8x2pskGdO4vlonHlW4b9fNvegbnz3P82lZzg6taLMVUK010DUVVVXDFaYizluoPSFITnfv6d5Yhf9Vj/8qk2472bYrW1VVd6gYATx1/wCnrmyG1joy6bggYii38Um78aLfN57nvvE82WySSqWxYztVVdD0AN/zcWwXR21X7gGbZZPvnVruVPKnrhQYyCc4vHsnzKtl2vzOH5+lZogH3nWFPkEyIQZaw70J4lGFQ5Pd6LqKLUEsFsH3hclm4PukE5rQFQDSCZ3ljQZrpRTnr5co1oSD8BMH++nJxUgnInh+gK4qjPammFutEdcV/EAMbBRFYrgnzocfGWK5YFCp20QiCpODqU6V9fQDA3zkid2srpe4MFPm8oJwx7VdgZXtysa4MFtmrWSgqyqKIphofdkoJVeomylKgCxLtEwXd9vzaLs+z7++xIN7upgcTDOQj1EP/ca+8tIsni+WzRFNJpvQRM9RlRnp3cnQWikYt0xfxw70cXmhju362I4wsBzoipOKqSJ5tu2TJIWurEY8oiIRMDmUQZZgbq3RIQxMDaf5xY/u4Q+ev0YgKaRiEq+e38R1fZY2GgRI+LbP8TNr/PNffIAPPDhAEAR85fgcP3hrHTukbLuuT09vhInB9G1XfrIs8cGHB++p73mnZyaqqyRjutAKRgyNK037ltveaj8jvQnWSgaKLOMHAYNdcTzXo+V67JRzlMXzoanhbEOjry96A3vRu6vjxF/l+AlNurdmqLRZbFttBFHZtodj22+Uvnyc//5v3s8f/vkVqg2beFTlmYeGQsrpO0FHBEQiOpGIzuHdPXz35EIHbHBoPN857o2KgecHHXC+YblcWShzaDK/43NfOrVCtSnUsfwQWeCFWgQRTTwYqqJ0ZPBkWcYwzA406ei+XubX6h3GV18+ThCIKny9Imy6m6bL98+t8rn3T7BrIEWlabOwVmNqLM8zDw2RTmpcW6ywXmoRiagc29/dIW0M9+xsibQjGdPpzsQ4slehZghxbUmC1UKTi3OVzoBOkX1RAali+V1vuWiqRCKm05WJUQp9ydqhyBKm5Qmb9riGYbqsFg2uLdWwHJFgFVliV1+C8cE06xWb5c06s2sNHtyd52AoTdloCW0GZ5sS2/3hC0+WwLRcJAnymRjdmSiP3dfF//XNa5TrFqoikYxpJPQIh8az2J5gO1qOz0rJQo9E8X2fk9MV9o6kSCc0EokYhiHuw9WiEX6u+GzDdHHcgOgWXwJNkUjGFIJA3D1PHupF15S7ruru5Z6VpNu37aK6QiKqUG3a1A1xLQ6MZ2/7WTcez9RIBlWRWCuZxKMKh28hBQrg+z627WPbDooijC1bLbMjcK6qCvF4tDO4+wf/4B+STCYZG5tgcnIPu3dPkUzeXl/inYTv+/zLf/nbTE9fQ9M0fv3X/xnDwyN3/8XbxHs26d7pHhPUXjFsgNsn2+3b30qpqTsb4x9+4TDlukUypnWcVN8uOkKIp2s4jkut1mRiIEH88THWigZ9+TgDIWg/CALGBzLEoypGy6VQNfEDn/VyixdPLvPskaHOZ0e0cMASBAIOFn4D3wuI6ir5TIzHDg+ihYOMet3YcVx7R7P88if28/++PNuxf58cztBoWju+X8t0O3q3D+zu4oHdXSSTMUzTpmFYLG1oDHXLjA6kGRnIdOBD223PgyCgVLewHZ9cTkCEYhGVjz46hO34XF+usbDe7OBjK3ULVFBkoeb11OF+ynWLgICFTVP0nAeSdGcinJ+tCMFyNyAIPP7Dt68x0B1nfrVJK6RlP7y3u0NhziYjRHSNzUqNcs3CdMT5HetL0DA9vnNiuZNwNUViV3+CZ48M8O+/OU29Jc5F4IuedYDMV4/PsRY6KrcCoV37waODdKUjnLxSpNWyabQcsnEVwxDaFZIkYbtSKPsJ0WgE1/PIpCJopVbYnghIxlTiYf+1bjgh7VkOYXwBlhvw4qk1qq3gJi2PdxJ3XB3KEuODab7x6oLAZGsK1YbFpfkKb82U8H0hPfngVPdtB2ATg2kmBtNv83hCDzjXuwnLLEkSP/3TP8PFixe4dm2a73znW0SjUX73d3/vbXzru8fLL7+Ebdv8/u//AefPv8W//tf/it/+7f/tHe/vPZt07xRtb6Wdyda5Kdm243aVMYjpc882ltDbQUe0LXhkWaZeN2iZrngAU3rHHvvGSMY1Pv/+Cb56fIaWpdKdjZJNRlhYr1OomqRiGn92fJZi3QIC5PD7KjICCaDIfPYDkzx+aBjbtnFsF1mRWVivE40o9GZ3ui78wsf2MrfaIKorHNzTxw9OL7JWMjoPTjYlpt4nLm9yaa6Mokh88NEx+nNRvndqBcNy0TWNYkgy2DuWI5kUlXUbw/ny6RVmVyr4QcDMusmx/XnkcMUQ0RVcX/DzN8pmR1rSsFwiuozrefyX1xbJpyNIwCP7e9mzqxtc8XJ48cQyX/vBAkEg7NNnVpvMrDaJ6jKyJOF6ASevFvnwI0MosqjCyw2XtZJBoWLi+wFNy+XffP0K+UyU8jbfNscL2D2U5uTlIsuFZgerLAGFqsWeEYnFDQNZltHDRNidiTIZJpZnjwwKRbSKyQ8vboqBoStcJdIxianhBG9eKVOqGuweynJoshtNVSjULDRFZrhP9Pl936dpucSjakivDjpY3GLN4nunlqk1bZ558NbMrnuNu81B1ooGwz0J6oZDtSlMRDMJjXSIQjgzXSafidLTk3tXRGraUqS3iyAIOnKOivLjcY0AOHfuDI8+egyAgwcPcfnypR9pfz+RSbe9lI/FJCzr9sm2s3Vwb+4RW9veeeO25KHrenie8GA7c63AiyeWMW0hfv03npkgk7jZMkeSJIZ7kzx+qJ9Lc+WbPutrL89yfqaIoipEIyqZuAaSRLFqUmnYuL7Hv/mz81RrJk/eP4jlBrx0ZoV63cQPAiYH0xzZJnYT0VT2joploiRJPLCnC9fz2Si3iOkKjx7o48pCheNnVjq/85XvTvNzH5nCsDwhpRna48wtl+jLqJ19qapCw3RZ2GiQSMREL9ZyWSxY3Lcr25la7x5Kc2G2zNxaE0WRiegquiqRTujYrkfdc8gmdZY3m1xZrJFLL9GV0vjg0SGaphsqge28BrYjerh+EFBt2CysNdgzkmakN0Em5VN/dYEgCKi1hOfdSrHFaql1Uz/3pTNrWLbP9u5hgBiSWbZ4MRiWwKK2VwTb7xFVkRnoirNnOM30sqBpTw2nGeiKM7/eoGE4BAHMrNTIJsQSXleFZsahXRkkCWqGy+XFBplUjACZSt3EsDyiukKz5aCpCnNrdWBn0t2stDh3vYzvB+weTjM+cDNGvNlyOH52nUbLYddQjqNT2dviACQE6qRtBGq7HrbroesCJifJUKqa94yvvVvc+35+vEO0ZrPZsesBOgWFqr6z9PkTlXTbMo+6LkDZ1apx1985c7XASrlFXFd53+G+O0x227GTxrg92sgA1xXDKs/zSSZFlfz9M6t4vugtVhoWx8+s8qkndu3c87b7a/9YjusrNewQWjXck6Q7E6VUszrJJAhAkmV2DaRZ3hTf1XYD7MDlyy9ex/MDMskotu2JihuJ6eUa943nb6PuFCBJMkf27hRoX97cCdJvWS4NU+gIWJYTHntARN+CIrV9r+oNE8ty8MN2QzwexQqX/UsFEzeA8YEMP/2hfcz80Qn8AMp1U0CwWg4RTQ0n+7aw25FldE1hs2Ly5qVNfnhhg1vNU/xg64S6XsBbM2Wy6Qi26zPYnWBqJM1b00LsRVPbVbHf8Zxrh2n7NyXimC4T1YX4+N98ZpL//NIMK8UWBLBSNPiz43N87v27drwwD47nOLBr6+UGcGGuEq7IxPWcXqnz089MsFkxySZ0urNRFlcrfP2VBaGf4fvoqsz77u/nxTeXMR0fyw0o1EzGBtJs1l3mV+tENJgcSPK906sdo8vN6gaxiHLT6uqFEyudHv6luTKWafHk4VtXzIcm81xZrIqXCtCXjVFp2pi2S1RXIID+rvhfQtL98UYikcAwtnJJEATvOOHCezzptpf6W5q6Quax1bLv6qwL8OblDV54cxlVFZTXjXKTLzyz+54+c3vouoC8tJEB26eqbSse+4Z+lO2IbXw/4Ox0Acvx2T/RRU9Ic03END71vl3MLFfRVIXdwxkkSVibTy9VsF3BSNI1BdtxMW23o+SlyILye3a6xGMHeneciwA6x7dWMrg4WyIR0zi6v/e2rZPeXFTsV1HCKb1ENqHy4J48p64WcNyA7kzklj5p+XSEXEoX2FtJuDYMdUX49mtzbFZayLLEqQsyzx4dYt9Yjrm1OmslP7yxFVzP70hEAiFjTMSFuQrF2q0n6O1ofx0vgNmVOt+wFvn5j+7jM09NUG+YnJ91UWSJRFTgiqMRRVB2t0HStoemShwcz9GdjfE3n9vDSyfn8XxBftFUObQpKvLAni52D+3sX964alEkQUrZLLewHI9STeUbry6EcEKJTFInFVM7ELe2dU2p2qI3F2W5YIR6FTKD3VGOn1pB1WRAYqlgISkaERX8UPBotdi6KemWG3bnuORwxQSCjn5hThhUHh7PcXh3F/35GM8dGeTbbyyRSUbE0DCukYwKofV9o5nOfOLdiLu1F/7/ikOH7ueVV17m2Wc/yPnzbzExcecccbd4TyddWZaIxbaSbVvmUYiH3z3pXl+udZKMJEksbgh65r0kbCB0KNUFD34bMmB7BAGoqsxYX4rrK9UOfGpqOI3refzh81cp1lrkUlGur9T5yKMjHRGZmK5yYFxMzqsNi1fPrxP4PpqmENHlsEfodQgCbSHzIByAN1s2EwNpCjVBtfV9YbaYiGksbjT4k7+4hul4+EHA7GqdX/70oVt+z4fvG8Bw4K3pAhDwzMMjpBM6US3NWH8Kzw9YLRj8p+/NYtkeo70JPvDQQCfJPv3gANeWariez4P7B6nVmqwWDXRNpm64VBoWL7yxyMceHeLPjs+xsCYRjauoIXzowakeJoeznL1aoFQX1zidiDC/XrvlxF0wubYPUoV0o9RJKgH9XQl++RP7+NYbS5y5VsILAiYGU1xbqt60P0WGZFQhGdfZM5xhajjNowcHeOn0CtPLNVqW1xFZVxUhgGRadxfuPjiR48xfXKdluuFxC0t41/MZ609RN5yQ0RZ07hvPC0jHNQq6gON5fkBU1/BcvyNk4/k+SzWLeFQjGQ/nCsiMDnbR05PDdduEBJdMUvjIgVCNS8V1ljYbvHl5s/MM/fDSJj3ZGMuFJqenS9hewEa5RS6l89ThPqa26Se8m9Xpve7rx43RfeqpD/Dmm6/zd//uLxEEAb/xG//8R9rfezrpJpOxEBFg7nhQ7hVhEG1DbQKQkIjot8bg3hhBEJBOC4iVYVi3TLbbtgYkPvPULl59a51Gy2Z8IM3UaJavfHeGi3MlFFmmVLOZGs1yZaHK4wd3Coz7fsDXX5nHsLxwCSyxZyTLZqVFy3QIEJoIF2dLFGtiwCbJwlInkODjT+ziravrRHRRMQN8/QdzrJVaRHWFaEThykKFetMW+rdhbLfjeWx/N4/sFS+AeDza+c5tONwf/8W1UL5RPJBN06Vle7RslwO7sjwctixScZ1mwwAJSnWbq4tVvHYPOary089MUGk6rJcMJEkipqsc3ZtnsDvOUF7j7EwZ25UY603w7Tc8qg1HEAbC6y9LIsFGIwq+52O5kIgqdGfEi0xA1IQcoyxLfOyxEZ55aBDPD7Adl3/y707ddAV39Sf5/Pt3dc4dCPJAodJCVxWSMQ0zTLxBIFAv7T75ne8jSES1rZWRJFFvOcR0Vdw1kkQ8qtIViTCzUmO12EJTZSRZ6Pc2TZeopvDMw8OsFxsC0eB4zK838X2fnO9jOy7ZVIRd/Uny8YAfnJzjylINSZI5vLubzz27j2+/vkCtYdGXj/P0g32cvlJAalPgwuNYLDQ5N11CkSW60hGCIKAvH9uRcOHdpe7+VWkvyLLMr/3ab7xr+3tPJ90fVVP3mSODFKotimFVsB2SBUIe8dz1Iqos8+DebiK6FlqpS7RaNztF3CraS3ZFlnny/i2fqM2KwUqhgSyJHrLvC1+vgxM3H7ftBTRMFzVUC1MVMUxRwv5jKqYhyzKj/WmScRPT9lAUiURU4/J8mT1j3RwKNXSDIOB//0/nuDBbwg2l/rrSMWK6wvEzS0RVmWOHBkglY7dsl4Tfase/ri9VKdetzgqhZgizSNcLqBs2b17c5Mp8mS9+cA+e53P6WpFmy2FpwxCC2n6A7fh8/+w6e4bT/PyHJ3n53Dq+F/DAnjwDXTE8PyCXivDckSEymRTFYgVdHeLfP290WHUjvUmGe5MsbjZJxXTymQifeHyU46dXWCsaxCMKzx0R0CrH9VncaJBNRjo6BKeuFtAVGWfbS1STJXRV5sVTq5yZLvHp942JxCdBLKLQMiVGexMoElSbDp4fYNkef/jn1zg8mWPPcKYjHHRj9OViRDRhPGmFqI2IpoihVHitskmdDz48yJ9+dxbD9FBVwUDTVZkvfXQKRZHoymfYKERZLxnMrdfx/IDebIxMQkeR4QtP70KWZdbLLU5eLXSu0ytnl9Bljw891IPlwKsXC3zle7Pk01FiUU2opfkBEgFD3UnOXCvRnnhIktTR39geb4+6e/v4q5Jwfxzxnk66t+tB3mvSTSci/NIn9uN4Acl4FMfe6g8KFS5BjJAkiemVBn/r0wcwTZtoVL8nNszcao23ZssC47onz1D31gRUVRRkRSaX0inVRdKI6gqP7O+DcFbebl/oltDkbSeD3mwUH/FSsJzQsiei8tBUF8fPrKKH8pF+EGDZLt87uUQmLjM5mOHE5Q2uLIgBDkGA4wTUmhbNlsR//PYVJCSOn1nl1/+bB2+66WtNm+mlKpquMtqbJJPQws+BeHTLlt5xRdXXND1h9x7AqxcK7BvLc3lpnrNXNwkQegtCq9bDC4Sy2LdeX2L/aJbJgRR7RzNcmq/wO18+j2G6jPQm+MWPTXWOZ3wgzT/5ufv51htLyEjEoxqe7/PUYUF1HehOEo9pfPFDe9E0NaSZBhQqBv/qT04yu1IjFpH52GMjPHV/P74XoNwgSxDTJa4u1oR4jSwox597/y7emqsSi6ihwaRAgLx5aQMkWCuZrBQNNqsmF+arfPLYMD3ZGLOrda4uVpFlYeMzMZTmQ4+O8t0TC5i2R38+Rm82wuxqg/Vyi4nBFO+/v6+TgNRtKmRG6H0GIkElYhqfODaC0IVwOvRmb9uzIIaw4vc9L6BUs3jt/AaPHejl+Nk1yg1XODmvVJkYSEIIuzyyr5d9Y3nOz9coVEKKdBBwcLKngz9/t33W3t5+3jsUYADlN3/zN2/7Q8Owb//DvwIh2GG3+v8SkYjWmazfeR8SsYiGris7uOGvnV/n+nI19PGSKVYNupI62aROJKLiOP4db4qNksFXX56lXLcp1y2uLlTYO5rpyA/GIioNw6HWEhKFfV1xfuUzB0iFMLJEQsjltVoWjiOszFeLBj5i+Vwzwkm+KmO7Pp//wDj37erC8wPWSoLKmk9GmF6uc325Jip2RaZQMbm2VAt9vUTFloypGJbXeTiL1RZd2QiaovDiiSUuL1RIJ3S+9foi15ZrrBYMNistevNRYhEVRZYwLIem6aDKEvl0FNvxqBsuElvXaGnTYH6thiLLIZ1WwK7ay3JNlYlGVLrTESRZYr1k8JXj81QaNl4gGFvTSzW6MjFSsbb7gM/CutE5r7IkhlC7h9NIiJ63bTu0WhbNZgvLsvnP35vh3PViaHgJqyWTTz61m4WNJq9f3NhRxzt+O2lJHUSEH4Bh+qFEZZNMUkdVJGbWGkBYAUoSiiTo1QC6JvHiyRUapkvdcJhbbbBvNMOD+wd4aDLDU/f305ePcXWpQTqukUno+EHA3tEMuqpQbTgsbDTDHnZATzaCYXqsl1qMDmRxHaEmF9EUFjebSAgt2smhdEfzQVMlZlbqBAEsbxqYtkc2FWGt1GJ+tYGuq3ihnGY6ofOZ942xdyRNKqZgWTa7+uLYtksuqfPYgX52DaaJRiOkUnHi8Si6HlLlFQXbdn6k5KsoMpGITqt1Z7gnCLFzSXpnFu8/rkgkIv/idj97T1e6t4u3g7vd2n7rFxRFJhbVURQl1D0VzhBt/8p7IUjMrNZDOiuAMGWcXanxwJ4tONazDw+zf1cOw3TYNZAmmRBwN01TO8m2HVMjWaZGsgRBwPdOr7AeYiXbTrmVusNgFzz94CBPHOrHDwL+43euCreA0Lzx1JUCxw70ko7rVJqiuo5HNUb701yYLW2dD+CH59f52kuz+IFQszp5eYNETCeqC1GShfU6q4UU+VSUfDrKsYMDDHbFkRADqVPXinz5uzMQiPPl+VBp2li2h6762K5Qfte1EGqUj+F6PquFJgRCvSweVakZguocOD6e57NUMPja8RmOTGV57L5eFFnuXJf2tVTCvnS5bvHqhQ2KFVHhPfvQAIM9CWzbQwrFXYIAjJZNpdrkykL51kzH8Fr7HlQaNhfnKhyYyHPySpHVQoPplRpaaNsji/yM6wWUGza160VM2xUVtCRh2T4bFdGy+f7ZNT7/XLYD59usWGxrqeOHHnKJfo1H7+tmernGRqVFIqriuML6JggCyobHh48OMLNS49JCNXQ2Vjg40cXUtj50NimUy05Pl5AkGOlLCIGjINhRLLbZcDeGqsg8sn/r/q3VttGwQ7p5NBpBliVyuTSyLON5bkczoY3Lvtfh2E+ili78RCfdt6+PsJ3BdnRfD2eublCsiiHd5HCmQ2G8l/3nkrp4qJE6CborE71pu8HuxI7P9X2fYqlBzbBJx/VOq6AdkiTRn4vteE4imtLx/4ItZ1wJYQjZqJu4no+mSDy0t4eq4XBproyPxCceH8N1HKaXq52+oq4qBL4wsQwIkEw6Cv5RXUDaXHcnIWGgK053WsPzPCzH54mDfWyUTE5cFf5aAcLSpq1FIEmgazKpmIbtCqfhWtPG96Fl+xSrJt0ZAUuqNm2hOiUJ+xlJgmuLNR67rxdNldk7kubyQg3h4KB1Es2r5zdY3BAuvEEQsFoy+Kknx3hwqodz10u0LLEsnhpJo0gBcV0k8O2do3RCR5Ykqg2RuANJ4vpKHdcXDC3fFwlHlmW6kioeEo7XwvXEi872hbsGBOiqytJmUwic+8IIcv9MkYGseAx7shEuzhG6fARsVlqcuVpkcaNJtWHjej5d6Sjr5RaNlktvLoYkSawUmiysNTh3vYQsyyRjGn4QEI/cjOIZ7k12dDbavd0AeOS+XlaLJqWaT38+xtMPDPB2QujrtuFnAdVqo0OQUVUVTVO2KYkFnQTc/nM7bbx9n/+k9nTf0+0FYEeVsz2iUR3TvDOGsx1iKaMRiQgJwWbTREKAwTOJCAd25Xj6ocEObEfThAbDnfq63aEhYLFqoqkKR/Z2cXB8p1LY/8fee0dJdl/3nZ+XX+XQOU2HyQEDzAwGiQhEICiCFEUq0JZEK+0erXyOpF1xrWNLWtuydXSsI9NBRz6rlbwrilpZsizbFCXmBJLIYYDJeaZ7OndXd+V69fLbP36vqqdneoABCUkEvPevQaP61+9V/eq++7v3GwTkzSSR0HFdH9f1mF1p8f9+6TwvnlnhzEyFgWKC3HViz0trwiwxk9Ro2R4Ny2WsP82ubbmbCA+aKvHimVXRYw0j8lmdbUM5BnsyjPanuHdvH8M9SXpyCSaGMtheKFACfUlmlpvUWk5crQsZw94uHVoil9F57PBI1/oHBD/++OV1ri7UmVuz2DeRY2IgzYkrglknAUgS6YRKytTozRkocYV4ZHcvtZboRRq6QhAI6N7e8TyuH+H7IdmULthy5Tblhk02pTPSl6KQMRgfSDHan2L7SLZLcDl+ucx8yerSwuMr4H33bCOV0PB9n12jWX70ie2xfYzElYW6YKBFoKsS77t7kImBDJWmqEIVWVTmXhDiBwIOaOpCfGVsIMOv/eQRXC9gYa2FH4biWiKJQgzNqjaFxnAxa5BO6iQMldFe8b7m0waKBE0FYhGkAAAgAElEQVTbo1QR96drKsvrFieulvF8QUroCBvl0waOG1BtulhtF8ePNvV50wl1E4W9u99lCU2VYpW3NilD5YMPjPOeu0Y5MJ5h73j+JsnL2w1N05DlDdJMGArnYYGf32jxhGHU/d6lUgnS6RSGoaNpQvJTURQkSRb+bW8SkqR+z1W7/8O1F+D2NHUlSSKREB+0eDpvZl7pqsKhXb03/d7tti8ePTzC43ePkUjom6jIkiRhmjq6ruE4bhdfrKoKX391DtsN0FQB0v/2iSU+/qSgb566us6Lp8WwBknCskX1d22lyae/eJEfeHCcXNqgkBEIi7H+NNtHsniBOKoXsibPnVginxYV0KUgJJfUMHSVnqzJL//4YXw/5Df+8GU8XwxqHFcIsT9x9yjbR7IsrLcwdZ07d/Sgq5ur8NmVJpbto8XV+eyqxba+JAlDxYqrSqF/kGTHSFa0YPyIYkZnvW7TlzewY/ouRASBqNr3jucZLBp8+ZVFanUXRZbRVIVnTq5QzOrMrbRYWLNIJTSePDpMyhQDvnx82uh8ZoYuEwEnLpW4MFvDNBTSCVXo1To+q2VBHqjUHTRVOIC8drHK//73D7C4bnFhri6scKKIJAoHtxe4MFvF90NSpsJQMcFrF9fYsa3IS2dLXSqyrknMl9pYji8eJlJAqk8lDIXdkeMFXe+8O7YXuWN7kU9/6ZJg4bVc3ECI7IRhRM3yyCZVbFdied2i0faYGMrjhxHXlhuYuorvhyiKxL7xW/uP1VseqiKRTxu03YCzMxXuPbC1MtxbidshNHSq4usT6o1Vsa7rKIqMrhduqIo3Szq+07R04V2ddG8tVXdj0qvXm+Ryty8H91baF50KSvxduvKOrutRr7e6SaHjB+bdgPn1vI3/PnWl3O0p1BoO86UmvXHLYm61yZ9+9TKGppBKqBza2cvBHT0UsyaaJr7gbUs4SuiaxGJJDMM0ReLOHb0srVvIisLu8Tw9OYPValtYriSFIPv77xmj0fbYM14gnTKZXa7z3Kk1AAoZk768iR8KfHB3EhVBJqmxbSDFwlqLIBD41r0TRd5/dJj1ms2ffPUKdcunbvmYhsJIT5K2GzBUTHL37iJtN6S/kEBTJKaXmpyZqcZauwKd8e3jKyytt5FiwZlm2+MfPLkDy/ZpO0LXoO149OVNerMmk4Npvvn6EkEU4XsB9ZZL3fLwYp+4lXKbIAJVAsePmCu1+L8+e4779g9wab7edT2eGsky0JNi96iogpfLNleX6lxbaWBoCo8eGuCls2u0XR9DU5ldaQjBbkVgaZu2TyGjMrvc4OpsmX0TBfbGNOEri3XKdadrTe8HIQMFU1C8vQDLDrhrR4GVsk1ERE/ehMDHdgIaLY/+YoK+vMnMcmsTtvj6uLbS3ER5n1lqcu+BvzuoV6flIKQcIZkUDw7LsuNErMZEqBSSJLQPPvWpT6GqKuPjO9mxY8cmfYS3K6Io4qMffaor5XjgwEF+7ud+nmef/TZ/9Ef/N4qi8MEPfpgPf/ijt73muzjpbujYdkKSiJPtzUnvra1967bGra7DMHRMU8PzAhqNVrcaiKKIL744y4XZGqoikcsIzVVZlonCiMnhm780bcen1fa6EoBtN8D1AtpugOMFsU1OBRSVR46M8tLpFRzHY7gvieuFXF4Q/U/XC4gimdWqxWAxxXK5xe7xPNtHciyUrG4iy6cNvvqKcELWVZnDu/uZXmmIKnu5yddfXSAfe6sN9aZJmCqBH5KSIgZ7M+wdz1Gu27TdgP5CgsFigkrD4cJsjbaz8VBp2z7bR7Ic3tVz0z0Lex7RZ/Z8jygMSfQk8fyQzuBakiRWK0LY56vHFplbtQSVNqnSmzN54sgwdcvj+m0RRRKL6xa2K8Tc/dh63g1F0zyK4Npyi6RRZmIwjeMFDBaTGIaG74Xcf3SIlu3zh5+/2B3gOV5AGMI//rE7uDBX5/jlNRbXWkJIHeI+dIGEKY7SJAzOzjW4VmpTrrexHV9odFynl7xzNIuhq9jxZ19v+UKCMhJsxYWVBuWGi6HLVJse4wNpbNe/ZYEg2kIb772qvD125wKn+92Li3cq5jeqiguFAseOHeOv//pzzMxcZceOnfze7/3hd/23r4+FhXl27drDb//2v+v+zPd9fvd3/y3/8T/+MYlEgn/4D/8n3vOeh+jpuflUvFW8o5PuG+2RGzebaYoK0/O2TrZvVBlvsTpwe1lX09R4sitTr1usVqwY8iN6ba+eX+XU1TKqIuP6EeW6zeFdffhBSF8+sam9ccdkka8dW6BUE0aM+bRBo+WBJJFNGZiajBf3QiVZZmmtyX17e/mJp/bQaNoQRVyaq3J2piIm5opEJqnh+eKmgyjkKy/NUm+5jPanMDSZTEqnXLU5PV3Gsn2KOQNJhp5cEicIOT9bRZKE4PbCagNTg550Di2hsXtbgdWaTdUK2TPRw9xKE9cPubLYYLlskUtpm5EgEuTSojXgByEr5TbJhEohbcTeahLDxQQ1y4NIuD4kTYXlSpty3cEPI5KGwnrNZm61KaxzghBVFjZDgz1JvKBJISMsy4Mwil0zNNquI/6d1Gm7AVY7iHufwmrddgMGexLMrjQJI/EA6DgrC/Utn0asWCZaBWL/7dmWY7Bg8sq5ta6deiGtMdJrsFoVbELbdjhzpYIkC0H5UtXC1FT6ikmCIMTUZQq5BEEQMj6Q4i+ensb1QwxNyGKWKhbNtkfKVEGSsB2f5fU2eyfyWybcKIpImgoX52oYmkR/IcmR3X3fUyI1b5S8O1Xxww8/ysMPP4qiGARBQKu1tXvydxMXLpxjbW2VX/iF/wXDMPjFX/wErusxMjJGNisG6wcP3smJE8d57LEnbmvNd3TSfaPoJF2RbG+uMLf4jbcVpnK9CE4URTSbbb7+6jzXVsRUd6gnQa3pcuLKOo2WRyFjkM8YRBEM9Sa7rr3Xxx07eri8WEPXZHJpg0xKp1Jrc+++fk5eKTO72iKwxTDK1KWug4TAjgZ8+aU5Kg0bSYKR3iSjfSnm4mOmpsmslW3qbWGfLqjGBaaGM/zeZ05TqjmEQch63SYKIx45nObV8yUW18T99OcTGFkDzw/ZMSJ60LZtc22hjOO4NCyPIK7gXT+iL2GyfVuRuh1x8tIaURRx144i24ezWI7PV18RNvYRsH8yz/6JApoqFNXaXkit2SadUBjpTfHVVxdw3FAYUkYR//XpGRzXZ70uHJElJDIJoRI11p+magXoWpOWZTM1ksXQFL55fJGlNQH8nxxMEyGxUm6LytoLCMOQ4R4x9R8smgz1Zji0q0+4GigCMN7BuAZBSD52fj5xeZ0vv7Ig2gyqSOJ+GFFruaLYjsRgzHKEi0bnvbfjwaqqyEwMZnnqge1omsJffvsythvh+CEtJ6A3a3DPvkGOnVtGUWSabQ/XEx509+7duvJ67tQq08tNcmkd2/WZGEoz3Je+zYLjjePtSrqyLOH7t7+OoijdJPidxuc+95f8+Z//6aaffeIT/5iPf/yneeyxJzhx4jj/8l/+M37hFz6xyZ0imUzRajVvXO6W8a5NurIsxRoBPo2G9abN/Vu5R2z92lvjdDvQGADLsgmCgGw2zdXFOvNrFlo8fDp+SeA3k4ZGveVRrjtkkhq5tMnEYIZvHlvg8y9eo9n26Mkl+PiTO9kzXqCQMQlCMYGWEEpUh/YMsm/HAC+dXOD4pRIJQyWT0Ll374aGwzeOLfD6xRJrNZsgCFmvOTx1/xh3TPUwOZxBV2X+7GtXuw8TWRbiMPm0jusLWUHi6mN2pcmFuXWW1loxs02wnZKmwnj/5mFMLqlRqtp4QYDvhxiGTMqUqTda+E6CD903yvuPjqJpKtm0gaIoPP3qNULEZHt5vcXXji1SSBuM96d4+cIaDUuYWM5ETa4sNQgDcQQPg4iw7bNWa5PPmDEkSrhiiCO/OAXcu2+Aw7v7aTYsDF3B8QL+y9NXqbdccY+liJ/8vp28fLbEqavrIAnDyiCExw4P8sqFdV44s8a3ji/xAw+M8s3jS1QbDmEE+ZTG9uGMEDqv2lxeqOP7kaB7xxtHFtgzHr5rgGMXyiysCjia7QYkdBUZSCU1do0Jf7V8WqVaFVq807MVDF3GNMU+SiV0do8XsWyfM1fX8fyQfNrgIw9PbJLavD7OXqsK2rYkUczoLK61u6SL7zY6uhZvxzq3Ryd++4ZoH/rQR/jQhz6y6We2baPENMU777yLUmmVZDKJZW1U1ZbVeksWQe/4pHtjAuxo2kYRm2ygb2+d2/sAt6p0VVWJdRmg3XY3ERskSVBcqw0BGer0q6JIUH/78ya1lstIX4ofenw35UqDzzw7TSM2/lsoNfnjL13gf/vYQfZPFnjmhBgESVHEPQeGRXIJPO7Z1889+/o3qVJ1rnd5zWK1YsfXIyqihK6x9zo313RSjZ1lOwB5jcFigmxKx7JFv9j1QsIg4pUzq2iqTD6tU295hGFIxlRpuyHXlhuMD2ZYr9l86ZUF/CCi2fLRNYWp4QyqojDSYzLUk+wagrqBx0K9iSRByxKODlcW6gInLcFnn5vjwTuH8AOBKtHVDSqre52fWRAKUsTYYIZcSu8+Rg1dFd5zMXvB1BW8OCnNrbZotj10Tcb1QuqWx188fZXJoQzppBB38cOIpXKLL7+yyEq5jaYJJ+X/5wsWvTkz9ikTbRY/jMilNJq2jyRLjA2kWKm0CWIEgqkJ99+krlKu22RTBqO9ITMrTTRFpidvMFhIijZAQuPQzo0et2EoZJIa9bhSVpWI/VM9EDqcuLQqZgHAl4+t8DMf2ie0LbrEBJ/pxTqrFeFD1xHIeTs1cG8UvAnCiJfOrlKuOxi6ypFdRYrZm/HqN8b3Ck73D//wD8jlcvz4j/8kly5dZGBgkMnJKebn56jXayQSSY4ff50f/dF/cNtrvuOTbidu1LTVtLd2a9+pe4SiyCQSBrIsY9u3FsGJgPnVGBiPqFT782LzJQyVkb40f+/xHfT2pHjp5Dwty+2C9CUJGi2P2eUmd+/t58MPTVFpeQKZIEVY1uYHi7zFjSixZrCwtRY6vA1rMwby0SOjfPv4IrWGTU8uyf0HBkgldf7eE7v59BfOsVhqosiQTGiYhkqlZiPJgn0VRiKhNW2Pi3Mumqpw7loV2w2FkpkuGGcfeWgSU1fwvc0U7ZNXyiyXRQsgoQuN4LVqW7QkJIm1qsXXXpmlmE/SceV2PT+u+uF60IcbhNyzp5f1uk0YgKpK7BjJdDGsG5+IiExSQ1MVrLbXdRheWrcpN4RtjizLMfxLJHTPF20EVZFp2j79BYm+vEmt6bJed3jtwhpnr1bYO5knldDIJDXu3F5germJ5wfIisxfvzDH515cIAhBkkKGe1LcMVWgkNG5e3cfg0Uh8tMZcF2ar2E5AduHMzhugKHJpAyVp+4fQ5Hh5CWhAOZ5HnMNm7nlJqYc8oEHxkmYOomEgaqmODHdYHIkz/SiIMMEYcSd2wtIkoTvB5Qbjlg7ht291ZAkNlWoJy+vs1IRIum+7fHi2TU+cO/ImxY4He3gv+v4+Md/it/4jX/KCy88h6Io/Nqv/TqqqvLzP/9LfOITv0AYhnzwgx+mr6//zReL4x2fdHVd7VqLt1p2l9miqoL9dLvxVmBgneo6lTK7ZpdvpPMQRbCw1qK/kKBhidcZusKjR0Y4c7XM0pqFoki8fnGN3oLNc6eWcYPNvy8rEmODGbLZJGFMkTUM/SbDyVv9/R98eJJzM2Vato+qyPTmzJvgRL25BB97fCeW5XQrd4CpoQy/+MMH+L3PnKHaFIpskiTRUIXWq6JIqMCFuTqZpEYha1BuODcd/CQkNE1FUyV8T1RBcytN1ms25YZgozXaAr51cKrAxdkqLSdCiY+athugEOKFErYrBkf7J/M8d9oRkDu6YoRUWyE//r5dXJqrktBlDl83kLxxYDpQSPDIwQE+98L8ptf4QSQgfLEgj6kLhS8/iAhCn4ShMDmU6yISEoYSY6wlHC/kmZPL9GZ0CtkE6aTKoe1Fzs3VxHtneVi2G/cuQ8pVh/0TOZ44MtwVAldjNMTL50rdalxRJB66YxBVhs+/OM/vfuYc+fRVMglxeqk1PYJIPBRePl8im9a5f/9GQnBsG0ONlekkCU2TMRIpZEXhr755hROX1nDcgLH+JD/y3klBE34LcWOF2rKDTd8r2/EJIzbRnW+9zpujIP6mMbrZbJZ//a9/56afP/jgwzz44MPf0Zrv+KSrqsqWAuLfKRU4DCMuzFWQkEVP7QZmTodQIcsyruu/qf9avDopU0OSpe6ARQLG+zO8en6NbMagZfs8f3oFy1nADwUWtO0EyIBpKDx45zA7x3tiTYaAhTWLl8+XaFkOU8MZ7t8/+Ab3G5HLmPzSxw7y7KllUd3s6GG0/8Y+lHgP0ukEsixv0n8QfcJJPvvMNG03oNFyiYjwfGFB5Pohtuvz8vkSmZTGRx+a4J59fcystGhYwkxx30RBoCU84XLx3KkVbNenUndYKttdhwQiSBkKk8MZTl4uEyAeMpODaSRZ4uCufpZXq9yzp5fefIJsSuNzz8/SgTRLwJdfnuVXfuIIH31sAEVRNoHrFeXmKuqJoyO8cHaVatO7LiGLSjNpqjiewMzKkkRnS6RMnZ94cjuVlseVhboQSFLEFThxFb5adXF8ONzXy2JMR+7sszCKCAO6gj+LFZtsUmNmWZBMdo5mUWQBy5tZbsbOIPBMtIzthUwvCwGcFTfASsTKcojBYUJX8YKISmPzKejgVJ7TV8tYthjSDRVMXjo5x+JanWPnV/H8EFVVmF9rc+xyjQ8/NNklJwij0TfSjr456ebTGquxQwgI49XbYbt9r7QX/ibiHU8DvpWAhixLqKq6qbf6RqGqKkEQ8KdfvcjxS+tcnq8xt9pk30Shy3pJJIzucE5RFFqt9m2tbRg6/XmD5bIVY2hlHrlriBC4GFc+IGBS5djuXRwhFYZ6k9yxs4/33zuGQkQYRrh+wH99+iqNtofV9lkotUgaKgNbuAsDMTkiQEJYrx+YurmvtrRuMb3cYGHNIqHJBJ53E2SnL5/gjqliVyFMV2XqMV7YD6Lu0VKLVcQeuGOQfRN5simdg9uLvPfINhIJE9t2mFmqsxwLlSuK8G4L/JCG5dO0PBbKFndMFUWF64V4foihSoz0Jjmwo5/JgQTnrtV47dI6lbowanS8AD22q5El0BQYzGtYVru7DzRN7RJUEgkTTdNQVQVNkVlatyjXHLzYKy2T1AhD0UN2vUDYvNMhBAp0iKpI7BrNsnubuM9TVyrYXtidvEcIynDCUOjNm3h+iBdEhGGI5wnEhSRJJA1htz693OLlcyUuzNW4OF9nz7YsL55bw3aD7j603ZBay+sy3mRZ3O/usZzQ2tXkWP0N9mzLMx6rjAVhyH/71gznZ2v4YchAMcFgMYnteMwst5hfbdB2gxhBAUlDZu82IVyj6xt0XdPcoOvC5gFcOp3c9L3ozZu4XogfhKQTGvfs7btJT2SryGSSNJtvfooT78mbr/e3Hf+D0oBvn8AgXh9x8kqZldh+HGBxvcWZ6TJH9w/FsDO/i/E1DP1NVty8tqrI/NAjU7h+IMTIZUk4NcS+WoDAkxaTrKy30DWhcLZrrMDDdw7Sk9nQX6g1XRqWSyohrkGWZVart664wzDkCy/MMr1UQ5EkDu3q5fCuDbWoSwsNXjyzzPlrFcIgpJg1+cFHJtk+cjMxI5c2GCwmmV1pkTA1HD9ivWqhyKCpCmoHk9x0+eJLczQtj6HeNI8cnSTwfarVepd3LyT5JAxdIpfSKNfFcds0NIIg4vxslSCKaNmCPntxvsH0SpO5NQfLcliptGm7AVEUxhNmoa6gxtjaTg83itjEdkqlhFCMbTtdtlM6neTnfugQX39ljtVKLKEYBrx8tiSkJYNItEU6iVcSAvBzqy0uLzQ4tLOHqeEM9+3v59Xzayxf1x+Kooj1qk1PxuCH3jvJ5bk6kgxXl5q8FtvihGFIEEbMLjdJJ7VYya3Jf//2NfrzRrdiVWSJ3qxBy/ZotjdMQXVd48l7RjANhXMzVZAk9k/kObqnt/ua//z1aU5PV4gi8SCbXWlSSAtccm8hibqo4Ns+zbaPJEHaVHEcb1PrTJJEgbJZxEbtaixIktTV2A3jfvxdO28mu7x98c6iAMO7OOl2RE5uN6IouqmyU2QZIx6S3Q7s7I3W7lzL9XoFmZTOk0dHeeXcKn4YsXc8z5XFZvwlD8gkNR48OMBgT5IXTi/jeCHjg2lGelOkExpRvOHCMKRvCwWzTrx+scT8ahM1fgq9eqHEjpEcvYUUiYTOzKuLTC9UxXsmy9RbLi+eXbkp6Yr7D9kzluH1iyXajkchrUJkism9G6BIEooi03ZDLs83KDccXr9U5szVdX7mg7u7iXCsP83sSqubOCYGs3h+XUzVES4Rli1gZsIxI6JtC9797HKDtZgg0jlym3pINqnRdgMkGbb1i8HUzFKDoZ7klvCppTXh1abIEttHMpi6yr17CmhaH5qm8typZZIJk2PnV2m1PUxdYb3Wpmn79ORMinFbqNUW7RJFlvj+B7ahazKfe2EWzxe9S0WRkWSJXMbgwrUqR3b3UsgYVBqz9BeTNCwXCUgaKo4s3IcrTRffD1lYsxguJhnrTxFFonc80ptkx0iaP/v6NEvrFoamcXR3Dz1Zk48+NMFHHrx579daLgullhiyShKmJsTn0wmV8YE0li9x51SRl8+vEiFaRquVNg3L3WQGeuMDrBOKogjvPkMnmRSzDkmSbtJNeLP2BLy9lj/fi/GOby/Ee2jLME39toTMQXwxBnrSnJ1ex/VF5VTMJXjk4CC+79+EPRSKZLfXutB1DT9W+roxilmTA1M9HN03SDGf5NmTSxTTBrmUUKCSiDg9U2FupUGl4TKzWCdhKuwey9OwAyQi9k4UOLq3v/tFi6KIF86s8PLZVS7PV3H8gIbl4fsB15YbrJQtyg2H/dt7CTyPczPrwjon7EhcQjFjcucOUaGEscuwuH6BfNgxmiUKI2w3JG2qwtUgClEVMcl3/IhKw8WKBWIsJ0DVVPZMbNgGjfWnSOgK/YUE9+0fwHYDWrYnElrWZFt/Kh44+ThugO1teKE5XtitcTpV7WAxwUhfkqfuG2WgkOCPv3KF506vcnq6ytRwpmvLo+sa5ZrDq+dXcbwQyxFi4KN9AmMcBEL4fH6lTtNy0VVJCLSrwpxSVWWKOaEit1SyuLbS5OxMlW0DadZqbV45twaRkPTUVRlVEw4hlh2QSgj/s4FCgjMzdfJpnZShUswY7BgRpIzVShvbFdVmEEas1x10ReLefX1MDma4a0cR2w0pVW22DWQZGchQbdj0ZA0ySX3LYsP1Qs7P1WjEDzkJKGZ0fuTRKdIJjdWqS8NyKNUc0qZGLq3TavvIssT4YOZN93inaEkkTNbXq1iWTbttdwkjuq6STCbIZlOYptCNFqedm/G4sixjmgaW9cbzElHMCDWy77V4V7cXbvVAfOuDNDANlZ/9wYO8enYFz/O5Y3uRW/X83wpt+I2upQN1m1up88Xnprm2XEeVZYaKSXRNwJWmF2usVmw8P6TtBMwsN5gcyvKB90wxmL+5zXHy8jrnr1W7bZL1uoMkS8yVWtQtF1mSWVht8udfPs+Pvm8nu8bygrxREmSHtCnwu50kK04NmyF12aROEEHL9ru27PfuHySbMlEUmWeOL7DcclAUIdAtGyor65aogGSFQArJJTSy2TRBICqg9987ymAxIfraSY3DO3vYuS3Hpz5/kc4ZRFElcS2INkIQhARRRE9GZ7g3xfuPDtOTM/mtPz0Zi8VEzK40+f2/Os9DBwfQNZXtowXOz5a5OFdDU2UmhzJ4fkiz7ZFN6Xh+KCq8hMrrl8o4XoDnBdSaLrIMwz0pivkEp6+uY+gSiqKwXnf41JcuE4ViHVNX6Csk8QOfSt2j0fJptHwqDYfBgokkSUyN5jg/vU4qoYn2QiQxOZTB90NmS8KZWhy+Iqotj/WGy8HY665c34wOkSWJcsNluHdrpbBsSufglPhMay0XXVX42GMTJAyVhKHy2NE8X39xhgtalXQihotJEpZ9e4WFePnmCjUMI1zX62KxO9FpTXREz2/U2O2wON+t8Y5Pum9HCHiUHmNtXQ5OFd70d24U1Kk1HV46u4rrBYz2p7lzR891lefmany5bFGuu0yO5MlkhOzjt16bI4wiRnvTXFmocWWxztE9vdy9p48vvzJHGIHtBLEnmugDP31sjg/dN4ZpqJswqOt1ZxPqQpIk3nd0nD8qncPQfTKxI+563CfcMZrj47ldnJwuAzIDeWE17no+dUsM9owthh+Laxv9b8PQKDc8TEMFN2LXWIZSxcLxQxIJhaGiiSLDf/rSOV67sIYfRgz3Jvmpp/bQX0yRTGooisp778ni+wHLa02OXVxnqdxiz0QvjutxbbmO7QiMan8x2TWB7MkajPQlxdBTlrkwV6PV9uOhlUjXtZbHF1+cp6+Q4IUzJXw/oO342J7P2WtVCmmdatPhyK4evnZsUYjgOCFTwymySZWZlRYpQ0FRZJbKFpMjeTRFxvIjlDDEsj2qDYfevNkVaU+ZOql0kiiyhVNGFOH6IXLMcHrkrmEKaY1SpYWhyKw3XBRZYs9EHiS4OFdH08Q8IJfSabY2ktdgTwLpioQfhrTbAko3VIwF5gPRr00aKoPXidu/544BJoYytG2f8cH0poFWMZvgwYMDXJqvUmt5sQi6yo6R26fW3i7iQLQZfGADWdFxntC0jUTc31/c1JroOFC80+NdnXTfrBq9ntjgOG63DXD7EfdUo4ivvDJPK64KVqs2miqzf7IYX8dGpXt+tsor50pIssTL51Z58I4Bdozm8DyRHKpNF1WVUSRRRVqOT0/WpFRpd8HyCVPF9QLmZsq4roepq5gt7tgAACAASURBVNx/YLDrhdWTNZhZbqDIogpLJzV2jOXZM5bjwmzY/XJcP5zLZwwePTRCKmVy9kqJVy+scuZKGSsG4j9y11DXOaMTCUMRLsWKqFR0JcJ3fRRVJpPUeeTQEKsxMF7XZEqVNudnaziugG3ZbsBffP0SP/XU7u6asiyjqgoX5qqYCYNCNqJUrZJJ6hQzCebtBkEgrn2gaJI0NfKxyPt8STgsqKpCNqWxXrOFV5kisLCBLPCxjhdCDHezXaEIpioylxfqXJqrx4gDoTh2baVFIWsKv7UwIkIgN2oth/5CgsvzNWRJVKQJQ0WRJLJJFccPUeSInSMpzs2Inm8QRuiqwp6pPvr780QRHN4ziG07zC3XKTfK8a6S2L0tR9sJcP2QlKkSRjBQ3BAkz6cNtg9n+Mbry3hBhK7AhdkqB3cU+cwzs6zXHaIIDk4VeDx2QJYkqdtCuWknS6JF89T92zh+eR3fD9k2kL6lNGQnmm2Pc9eqBGHE9uEc2ex3Jq94vZqYQJYY1GrNrqGormskk8I30PcDPv3pT2PbNhMTO9m1azeFws1aJd9NfOtbT/P001/j13/9NwE4ffoUv/M7nxSuMkfv42d+5mcJw5B/829+i8uXL6FpGv/kn/zTrgTkG8W7POluLWJzvT1Ou+3iuh6yLLj+b21t8W/bEXKKHX1SWRZiKfsnN14vSTKplMn52ZrAZ8bT7VNXy+wYzTHck+T0dJlaywEJUgkNxws5O11h91iefEoIfa9U2mSTOmu1NklTCJCHERw7v9pNugd39OAGEcuVNposce+BAYgiPvjANqIoYq1mk08bfOiB8e71CRk9l28cW2Cu1OTaUgPHDxnvTyMrEscuVtg9XuxC9FRV4YMP7uCvnrnKetUiZaqC/NFyqVbbDBQSjPaleOq+MSRJ4unXF6k2XPwgIIgiQj9E18Q1ttoeqc6RlghV1YgQD0JNCskkZNZqNrOxvThRxFrdpVhIUm56pBI6hibTags3hVrTxTRUUkkBvTN1Bc8LkWTRW3Q8l7YdkEyoAnal0O09NhwXQ1NQZQk7Er3jpZKF5QhSRNJQUFWZgWKSqeEMuiqSuhMnyPW6YLFlUwbf/8AY20cyeL5glKmKzJ3bC6TUkFKpQqGQIQhCdF1j50Q/a62QRkuI9ChSxM9+eC/fPL5Iq+2hKTKKDJfma+wYySJJEvMli56swdXFBvUg4CuvLnLyagUnhqKJ/VXh0M6eW9rAb+xP8T0Z6U0y0rs19PDG8IOQZ0+uCMdnYL1eIpdLon+XgILOtUTRrdoTCiMjo7z00os899zzXLp0kWKxyJ/8yV+8LWSJf//vP8nLL7/Azp0bztOf/OS/4jd/87cZHh7hl3/5f+XChfMsLy/iui6///uf4vTpU/yH//Dv+K3f+rdvuv47Pum+0WnmxhaALEuYpoGmCRbZ9cSG75RMAWDocgxGF9VqGEVkYnvyjvanosjdBB9eb/MT38B9BwYIooj5kkUidjSIYmrt++8d46Wzq9hOPCVXJC7P1+jJp7rHLcffsG1fb7j0F9McmCySMBQMQ0OSwNRVfvjR7Zvu4/q+bbXhcHm+gq4q+EGA4/isViwGikmCMOxWGp1IuB4/9sQUbdvj9YslSjUHWZHJpw16cxuDuM5tSpKEqWu4vtANCEORHI5fXuPefQOcmq7RdiNMTSKKDQ0lSWK4J8XMchMnZj+4fkhUa2O3k+Kz9ELSKZPt23qQJZgtWSytWfi+wBLbroemiCTs+QHphIoiC5EcRRaT2M5nOVhIUqra1CwXzxP4Y0OXMXQFPwhJGAZ7tuUoZhN4rsve8Tx37Sjy+RfmubRQIwgiUobMDz+yjW0DYgD1wftGaTtDYv/FKIrOYNJxNrRidw2arFRhca3NyasV5tdsHj40RqvtcXm+Qs0KKdVbOF7IgckCni/aCIK0AbYXUm4IZ42kufF3bhTGf6NoOz71lkcxa9xAm745Kg0X2w2uKzZk5lZbbB94c22FN4o3c5/w/YBDh45w6NARZFnMNNpt621jp91xx0Eefvi9fPaz/w2AVquJ57mMjIwCcM8993Ps2Musr69x7733A3DgwB2cP3/uttZ/xyfdN4pOYryVPc5Wr739tTf6tIos8/BdQ7x4egXb8xnrSXNkV19XwzcIghjv6LJ/osBLZ0ui7QHdFoQkSbznjkEcLxJ42Sgkm9Q5srsXVZF5zx2Dm/7+UE+KMzMViK22x4cyZDJJXj6zzIlLq0CEIss8dniYoT4Vxw3479+6ymq1TSap8b67R+nNmZuGZEEYdu8pm9SwbOGu6PoBE0MpPC9uC9gC0qaqSjyRTuOeLwvti0AMoV4+V6LW8jiyuzfWHigyvdRgpC9JuBoPSmJ1sudOl7iyaBGEIZoskTQV+vImg8Ukrh+ST+t8+8RSfG2iX+T5Ibm0Tj6tMdyTYLAnQSqhcupqlfmVJg3Liy2PBDOMKMD3xcPMdgMKGYMghP6cSbXlYmoKpq7w5NFh/tPXruJ54hojRGLu0GFH+lI8dmSEehvaSsSO4TQzKy0cP2BiMCNOMeFmeqokSZvotHMrTS4vNOjraXDX9o35gSxLrKxb/NnXrmDZgi77zdfmGB/McHCqiKIoJEydtifR11ckkVgQ8MK4+i8YJsnrfPKiKGK0L0Vf4WaftOuj04K7vFDjhTMlgkDo7T5xZOQNK+SkqWyaVURRREL/7pEEb4WN1nmfk8m3bjW0lZTjr/7qP+fxx5/ktdde7f6s1WptWj+ZTLK4uECr1drkViHLwtFCVd84rb7rk65haKiq+l05Rdxq7eu/WGP9acYeEx+AYWiYpt7V8BVgcrEZ908JC53VapuhYpL+mEXmeGKw8+S9Y+ybLFBr2EwOZzBuIdyzb6JAIZtkdrlGPmtyZM8g7bbD8YurMSlEWLOfnakw1Jfhyy/NMr1UByRabZ8vvjjLx5/cselL05MTyl+rZZuerImhK0wNZRjtz/DAXWN43ga5AcBxNthIUejj+yGOF3B2poqqSEwvWyxXFvix9+1gqC/Dxx6b4uJsjeOX1jkzXcHxA2RPkAJeOL2ErgoI0baBNKau8tCdG/3Evrxwm7CcAFmWyKd1hvuSjPSkGLmuT3nXjiLnr1VYXLNwvEBYCAGGpuL6AbUm5DIGfiiU2D7yyBTTizVOXSkTIfH5F+exbJ9UQiMII1ptr0teCcOIYsZgsL/AuErMvBKWPh3TS1mSiKQI19taN+DqYoPPvTAnTiwzNa7MV/mB92z0AV84uyr6zPE29byQ1bLFfFpnMO7pypHK+nqVdtulmBXtlM58YWo0x1BPimtLdUb7Ety9u3dLAaTNIU6Dr18sI0sSTcdjca3Fpfk6I30ptvWnOLSzh0JmcwJOmRr7JgucnxEklvH+NLvG8m/KJGtYLrMrTWRZZudodpNtENyez9rbEVtJOW4VqVSKdnvjnizLIp3O4Dg2lrXxc9F2e/OU+q5NusJZVMX330y8fHN8NzCwjo9TR+lsw0CvQx4VMdSbYug6aM/MUp0Xz67g+xG5tMGT9413J9G3vk6JPZNF9kz2YNsuzaaoFG/8W3ERRLVpc71ecKN1M35ZkiSeuHuES3M1PC9k13iB/t4cYRhSr7c22WRHUcQ3X1/i8kIdWZLYP5lDV2B6sUkQBuTTBq7n4Xoel+Zr3LWrn23DSYb6C5ybrVPImtQtlygUJIUwpHt0mC+1mBhIcfpqGUNT2D6S5fEjwwIh0HTIpQ1+5L2TjPanqTQcXji9Sm/OYOdYDtM0GOnPMbbeZqHUxHFFItRUMbiT1ah7H34UcfJqmeMX1/CCkFRCI5fSu9oMiiyhKsLXTZUlUmmTs9eq/Mr/+SzjAyl+6gO70DWF3eMFLs414vZHRDalMzmc2VSxdfbL2XjoBCK5zCw1sOO+c/zC2KIn6u7FTFLDCwQV2jQU9k/kuwy2sf406YRDy/LIZzRkCRZLTUxDxfKgr6+ALEldeccOLOv64qPDiPND0YpYrzs4boDnhyxJAr/dbPt86IExVsoWdcunP29SyBjsHMmyfThDGEbksm9ebTYsl2dOrhIherbL5TaP3Dl4E9rm9ix//nbYaKlUGlXVWFiYZ3h4hJdffoGf/umfpVRa4bnnnuHxx9/H6dOnmJracVvrvSuS7vVH/Y6eru8LgHsQhLedcN+KkDls/M3rFbm2Ft+5NYED4NiFNTE91oQ61WvnVzcpQ90YHTeMKALLanf/niLLbB/OcWWhhqwIkfO92woEQchQb4b5VSG8HIYhvfmt+26yJLFvskgqlUSWZSrVBs+cWMR2Q0Z7k+QyOivlNtWGw7lr1VjJLeL1S2V+9PHt9OYMnj25ghSzioIgQibg5VPzeEHE2EAOSRIWMc22RyhFSEhkU8K5N4iJGKqmxhN4MYSaW23F1Z/QHvgvT0+zdzzHmekqzbYYhD529xhPPTDBPXuLVGotkobClYU6fiCq4/6i2bUm6nx+jabdFTgXRAiZA1NFbC/EavvsGM3x99+3G8vx+We//zyeH6AoMjPLTb726iJP3T9G0lD50ANjnL9WRZIlDkwWNsGxOkMhEIyybtsLUBSpO/QKwgjXF8le6N1CwlQZ7kny6OEhBjvY7Xgz7RrNcuZajf5CEj/tM9KfpGl5CPeKAMdxeeXUHHvGi2iach0ca4O226HrAoz1pzh1tYyE0IswDcEqcz1Brjl5uczcagtZkbg0V+Pwrh6Ge1NCBEiRbqstMLvSIupowUkSdUvIYfZdtx8lSSaKbo/U9LcV/+gf/Qr/4l/8H4RhyNGj97J//wHCcB+vvPISP/dzP0MURfzqr/7z21rrXZF04WY93SAIMc2t2Tm3ituxbb/+tbKsbKnIdat1b/X//CC67qEddafBN0ZHxlJU7xamaXD8Uom1ahtTVzi0s5eje/voL5o0LY/h3pRwfnA9ju7K07LalCqiUvzQQ5PkMwmCIOgqSIlJukjolmVj2w5/9eyMAOJLEqevllEViZ6sycJaCz+IukfOIBT44P1TRWZXLaaXGjFbLs9CycL1hV7FiStrFNIqruMyNZyhZbnsmShw4nJZDMgi6C8k6CumhT6s6/Pc6UUMTabeEnoDxayBkjb4xmtLpEwtPtJFPHNinvv39WCoMh9+UCAz/CDk5bOruEHE0T29nJup8vVjC1QaLoYmc3GujiSJAZIgckS87+4hRvvSmKYQOCrXLP7gL09RqrZRFImEoZE0VPxIGI76fkAqAUf29G35uXXmCgAP3TnI0nqbakuomd23rw9DVwhDKFUsVEViaijDSqUtpBxlqFse2aS+UQ3HcWR3L2NDeZbXm/SkNWw34PVL690HfBjF9kAxLrbdvh4Xq3ThWImEiaIofOTRPQz0LvCt1xbIuz71GEmR0BRMQ2Fh3UKONRklWeLqYmMTGeN2KtQOxfd6DLuu3txe+LsmRxw+fDeHD9/d/e8DB+7gD/7gjza9RpZlfvmXf/Utr/2uSLqZjBAwubHKFInxrWjqvnFF2gk5hh4pioJlOTdBWrZeV2Kx1GK5bDHan6K/IHq5kiQx0pdkbrWJLAstgcnhzbTL6yvp69sWxy+VmF5sABENy+P50ys8eniEbf0ZOoiEKBLDMUWSePzwcHfNwHVYXxe6uaqqYBhGF5kQBELeT1ZUyg23+wVptD10VaEnKwZts6utbtJNGAojvUlkSeKp+0ZpWMKrTdUUnj1VwjBUbMclDETFvGs0R8v2GB9Mk08bHJwqcO5aleVym3PXKpybEZjVXEqn2nAY7ksjSYL95gficw3jg4lle7TaLpIs8ZVX5nny6CiKLHraiixx/4EBYSUqSWSSKkFIbE7Zxmr75NM6xaxBGEb8z9+/i8GeDOm00C2uVuv80efOM7sk7NddW3impYwUByYLOF5IzQoYKKYwdTl+gG0tgyhJMNSX45d+7AhXZssYqmgntWyPrx9bpFy3qTQ8enM6SFKMQdbRVYWXzpX4wL2jN+2tnWN5tvWnsG2HMIq4ttLi0rwQKJ8czrCtf+sjfxAE3TaLpqlkMimq1QYHJvIM9yR59sQixy+vIyngRTLvPTzG8YslPD+I21g3a9neTsGyczTLcrktWksRjA+kyaU3sypv16rnb1pL928q3hVJt9Wyt/ywvxsY2FaxgYJQY7NC/00TrlDUinj13ApfeXEGJPHlf+LuEXZvE7AfiPD9iGxKZf9UD6evlvnGq3PkMwbf/9B2kklzy0q6XLNRFIkgroxrLZcwDLuIhFbbY7nSpr9gkk1urYomMMsmvh+wvt4kjEI0VVRAhq6RSpjdI78iy+iagiQLl+CJIZnBQgJZltg5kuXstSq5lM72kSz5jEEymaDthizHjhOdSbimyuwY3Uy0GO1P05Mz+eR/PkUUCr8w8bAS72+tYRP4IZ4f4PoClbBzLE/T8phvNEAS1Ola0+PE5XUkJC7N11ir2TQsj0xSY2Iwg+f7XWq3KssoqnCASCVUilmdcjPktcuLaErEQ3f007J9SrU2LVto6UpShB9APqkyvVDh889No2sCbfHQXcMoiszrF9cJQhjqTfPAwSGisJPcNDzPo9lokU8p3ff1L799rStz6QUhazWbMAwxdFU81CS6zhxRdN3wMhIP22+/No/r+RyYypM0BbRN1xTWqjbTS02mht9YO6GTLMMwxHFcEmqELEXcvbsHCSFgVGnYHNjew6mrFUxVJgojDu/tJ5k0un3i20m6qiLzyF2DVDp45vTN+/LdrKUL75KkGwTRljKOt1u5brz+1km300d1XZ963UJRZEzz1vKOtuvz+eevsVq1SZkabSfothDCKOL1S2vsGsvzhReusVazkSSJtarN86eWcH1x4Ws1ly88N80H79+25d9ImirrtY17Tehyt7KdXWny/KkVQkTP9L4DfUwObiQ6VVVIpUS13WhYfPaZKxy7sI4iSzxy1yAPHhwC4OjuPM+eXOHacktQTh2fatPFNIS2QDZjMlAwef60EEcPgpBK0+fJ+yepVFt8/vlpXD9grdpmrWZz544iO8e2ZjlZtk/b8eOqVBxhDU0mX0xgx4iC4f40mqoQBiE/8sg2Gm2fP//6NJmkTl8xgSzJVFuCrCIpCvOlVteQ8tJ8jUx6gwCTiuFjgz0JkgmdfMbkM9+6iuv6WLbP6xdKfOzRSQxVxfPDbuWsqTKlhsuLZ0uYuorjeSBJnLi0huVsiCNdnrOR8Wk5EfWWy65tee7aNcCl+RoXrlUI/IBsUqNUbXf3XU/WYKhoYugq86UWsiwhIQTgrz+1RVHEUtnmM89cxvcDFAnOzlSwHJ+UqXVV1U5eKdNfMDf0FLaIG5OcH89BZFkiIsIPAurNNsMFgzsnszTbHsO9afIZQTDq9ImlWFFNiMb7XRflG0OWJHreQBXvbwu98HcV74qke6t4OyrdzfCvDXnHN1v7mRNLLJfFl6nV9phfa3UhP2IBARNbqbS7kBlJlliuWPTlUwSBqOrK9VsrLR3e3U/b9lktNzF1mSPXWdKculoWVXWc6c9cqTI5KASpU6kEqqpiWW0cx+WlMyt87dXFbhX1hRfmGe1LMTGUZXIoy9xqC98PCWON18VSAz+I0DWZbMqk3GgzWEx3XTFOXl5ntWIxXxL27r1Zg3xax3ED9oznb4IIdaKQMRjtS7FQaqHIMhERqYSGock8cGAUJYb++X4QnxAEvGzPeI5W28OPHSmKGYXAF8pkfki8lui/TgzmSBk686tNZBm+795Rtm/rIZfS+PZr83h+ENujSyytW7x6YY1dE3nmV1s02h6yIpFJCpRAGG0MhDrTftcL0FSFtZrNWs3hlbNrRIj36rkTC7zvaJWm5WEYmmDHBWJoKPDWotrsL6Z54u5hXrtQotn2mRhMMzawgQdVFIUL8w2+cWyOueW6wAEbSuy6HKGrMsO9CUCi3nR59uQKfXmTw7t6ttyzNyZdXVOE1oMthnKNlsta1ebqYpOErnDvvj4MTaLddrp9YscLKBSySLFVUDKZQNNUoohNxpieF2xCwWwVt1/p/v/the+5+G4ID7eGf9382q3CcvyNYQGiNxmGou5UJLhzZy+aKqOrojepKEJ4O5cyBRwoELbnpiZj2f4mcP215QYnr6wDEnsmirz/gcmu62tHIGR5vU2l4WDoMo4XiUpots577hzFtl0ajQ0L6ZNXy93qTJIkmrbP/JrFxJCojBstD0WRWa8Iq24/jPCDMJ6w2zSaHr7fwHZ9CmmDS/NVlssWbdfHcUMO7e6jkDGQFQ9dU1kptynXHSaH0kIgJw5ZlviJ79vJV19ZoNIUsKX+YopDuwcYKpp889hc9z1NGAq5tI4sSTx5dITXL67jBSH9RZO0oVKqtFEVCUOVhKWQAr7nMTWU5gP3jVFt+eTSBpmUEb9nHq+YgkQSRqLai6KIK4t1Du3s4WOPTfJXz88CkZBPRKYnp7NWtWMh9QhdyxNFIiHOLTeRFYGJliTIpTRabZ/PPnONyeE0O0ZyXRTCwak8VxYatJ2AkcEsT71nkmTC4PH7hPhPZ9gZBD6GYaDrGicuXUFhw8liudyOh1ISfhAyvyo8+baP57Ecn7MzVdJJld1jBTroHMf1OXGlgh9K9OQT7BxKdqFbR/f2cWm+jucFtNoeifhzCsKIk5fLPHZkYz5w4nKZaytNksl1ejMqd+3Y0EGQZXmTolg6rXZJBLcSsnm3txfe8Xq6cGtNXUkSeN3b1dTt0HU7KkfttoNtu1tuAEkCXb/12g3LY2G12d1APTmTVtun1hQuvo/cOYSuKaSSOiuxbGMuqfHRh8axfXA8n6U1i0rD4bWLayBFjPVnaFhCH8GN+5vzq3WUKCAV0z5VVeGF0yXOz1aoNFyW1tu4XsBgb4ZW26PeaNOTFUdN1wuotlxWKzazqy1RlQSCgeYHEeW6zdRwlrWazXrd6Sp3qYqM48eSj3GfsWm5VOo25brQUE3G4i+260MUkk8bDPemKdUcPvf8HGdmqpy6WmFqJMeZ6TLTy01Spko+bbB3PM89+wZ57J5J7trZR8YERYrIJjX8QPS+D+3s7R6hNVVmbCDN7EqTv352lhfOlvDDkN6sqJx7cya9OYMju3vZNZZD1zWK+SSB79NstrouyZMjeS7O1VmtWEQR9OYTqKpMGMLDdw3x4B2D5FIGE4MZHj00SBAJxEbb8RnrTwMS5brP3GqzqyPcOT202j6uL47t1aaLhERvziSIIg7v6uX+/f3cvaeXPdtyBL6PbYu9F4aichTi4OKE4jgeX3lplpYd4AfCRsh2AwxdIZc2MFQZJLhvfx+Vhsv0smDoray32Tb4/7H33lFyndeV7+/Gyl3VOQHdjZwJECDABJIgKVEjWTmMZNlj2WNbtiXryZaDtDSWZ95akoPCWNJIthzGfh7JVvDIIhVNWyIJggkgCYIIRE4NdE6Vq25+f3x1K3RXd1eDkAiC3GthYaFRfevWrXvPd75z9tk7SlNEsHqeemGcZNYESWYmY5DNm3S2iKa0LInz62wJMTiex65KOiRJKquPjU7nOTmYLAkx6Uwn8wR1lXhElN4EbdDFsmyKRZN8vkg+LwxkxTOkEQ4Hq3R2hQ2QoLLNH3ivZS1duM71dOHqaOoqioyuq0iSTD5fXNRbbbFj37RO0IeGJ4V/2eB4Dk2RaW0KUCha7Dsyytv2rGHHhjCre+PkiybhgMgC3nzHSh54+DRD47nyezxycBjHFtQyx3VRSvU9RRYPjN+NNgw4enaccEBBTgTEwxhQ6Sg9TDkTotEI5y7P8OD+QXJFC00RXX1fszcSVAhoCpfHczxzcoJbNnWWFM4kRiY9ejsiDE8WmEgWsW2XbMku3kNsJQMBhZmsSXNMpymiMdAdZduqZrpaQ3zx28fI5CyyRZvhSZs//rsDJKIBlnXGOD+a4933rqajJYokCc6zr0sA0NkSntcHLlew+I+nh7BsD8d1BavDK3nlyTJdrSHWDzTT3Cyyx2QyQyZncHoojYzE+v44uqbw/jet4V/3apwdSiPLMs3RAN1tMVCC9LSF6GhrKrMT2pvDpTp0BNeTOHxumtGpHJomg+QhIaOpgufql2MCuoxtu1wYTbO2r4md69pIlJpJs+8nP2CFQgEkSSaVyuI4NgeOT6IoEkXLIRTUaE9otDQFOXM5heu5qJrMyp4o4aDGyHSy3DgMBBSOnJuhpy1Sosl5hMJBXMfFdRwyeap8zyoNu87mIOeG0yXGiEdnc6Ue63u3gVBHk2QZo4FnZz4hG5+yGI2GUVVhWVXJip0aXvFPC7MVxvbufYgvf/kLdHR0AvCrv/obbN164xUpjMF1EnTnQyONtGoRHMtyALchM8v5jj2ZKvD8mSlAqH3tXN+B7bj87fdPihdIQsTZRSrdeDYSYqRSHFdkkBdH02TyFuGgiuO4jEzlePT5YRRFwrRdOhIhoiFRW2yrakqMTgnzS8eTaAoHCQeF64BRytjluOigP3lsTLAQoiGhaiUL9+OhiRyaKjOVMuhoDpIv2CiyxO4tXUz0FXEcKDqCWxnW4W+/e5xUzkCWK9dEL010CY+3OG+7YwWyLIkhBMcjW7SwbZdcwcEDplIFDNNmXX8Lxy+maEuIwBqJhIhEQjUULF/kejbyho1hOciSXDZsHJ8pkjfE+Y/OFDBsiRvXNmMYFh2JEAeOTwi5Rs/j4liG19+yHFWRuWNrF2qJ7K8qQu3s3KUJjpxyaI4H2b6us8RtlUk0TeNlDQ6dmmAmLdx+bcvFcV10VXTrb9nYzvELKRzPI5sXWrWa5lEwKuO+9RAKBQiFghQKRQqFHK7nMTSR4/SlGdoTAUK6TNFyaU8EePPuAf79wBBDEwU6WoK85a7VqLLM8YspHNcrifyUegeSRDQaJhEPMZ3Ml69nOKTNoVh6nse2Na1EQiozaZOmiMba5fFy0tHdEuLkYKpM35Pw6GldQ0toNgAAIABJREFUug4CUKLYmbhugOlp0SH2bYBUVS3ZAKl89rOf4fjx4wwMrGLt2vVs2LCp4YC3GOopjJ08eYIPfOD/Yc+ee8s/27v3oStSGIPrPOguhHoiOJqmoutXfkkyeYPvP35RCFYjmk7v3LOCWDhAT1uEy2Np5JIdeGc8UNfux/U87t97lmzRIpM3yRUtPM9FUxV0TSGTFwMCIV0hV7DYvbWr3GS5MJrh2MU0bc0Rjp+fIpsz6GoOkSh17FvjQbavacUwTHIFA7MkL+l64k9HS5h0XpQQ5JKo9KrlQhj8G/9xmtGZQtlocM82IcCzZlmcC6NZbP8gkkQ8qtPfFeW1O3twXREQfSH01SWepmE55bk/y4Fs0aFoWJhGkXRaWJAXTZuWeBC95NgbDOooiuiSz+bDtjYF6euMcmlM1KoVWUx8ybJczsSePz1BUBPBYv+xCUIBhXBJ0D1XtLk8kaO/M8pQmfEgarGeJ1gAiixxbjjNdDLP7Td0EYmEuWljJz/ef5Fi0UKWxGRdOifcObpbI6xZHqMprBEJ6Tzy3EjJCkrCdmweOzzKZKrIa2/qLetHFAybp16YxPYkOptDbOyPMToldktHzs4wkzEYnynieLCiO0qTJJGIBlAkqYbH61kGriJz25Zujp6fQlVE6Wz3jctpaYljWTbbVjWz/5hBtuASj+jcWMdA0h/sWNdXEeapnrALBTVu39LF2aE08XiU5lCkpv+wVMzm6Fb4xJUdzzve8Z85ceI4J06cYu/eh/jmN/+Zv/zLv0PXGzeLnQ+zFcZABN3Tp0/yrW99nQ0bNvFbv/UhDh8+dEUKY/AKCLr1psxq6V8VEZwrabwJQrtBb3uEs8Ni/t4/hmk5nBnKcMvmKD9/3zr+7ckLpDIFlndE2bamre4xR6byjE/nScSCrFkmMZUqYDle2VurYNhoqszaZXHhMVX6vVAoyHh6BhmJSEBm66oWDMvhHXtW1HV9GOiM8cKFGdE48TyWtYexbIfe9hDj0wVWdEW4aUMnGwZaefzIKJNpU1C1PI+DJyfZtqaVWEjlxrUtHDozxXSqiOmBrsn0dUboaQ2z7/mxkp25xG1bOhnoivHG2/rIF22RZToVDQDHEWpiN65p5fEjYzx5bBzbdljWEeHd96yqkRn05TJVVdipRyIiEP/Oe7bzvcfOMzSeRVclxpJFLo1lBIWpZCvufzeyLNwkwiUqlYfI3n/01CVOX06XqFqweWUzJwfT5VFdWYaJtEnOknn62UvgOty1tQPXtXj88DiSLGGZCk1RnS2rW5ElmUgkwHtet4LxVJHzQ4JtkC9WvN8efm6Yd+1ZSTCg8tjRCaZSBrbtcOHyNA897RAOKuRK1urLO4Tjw7nhNNOpAmuWxcsi5bPhOC7b1zRjmCbHzydpa4kyMVOkNSYy2o7WGG+7JwHMXcQW2sJXT9gBtLdEWdHXjmGYZbEb32ZIPCeNP1eNNNGi0Rg33bSLXbt2X/GARKMKYwA7d+7ijjv20NPTy2c+8yc88MC3r1hhDK6ToLvQd1QddKt1Geq5+y416D55ZJjHD10GhL/alpXN5S2247hMpAxOXkrhlCbSXMcmoCsUTXuWcLeA63rIeJi2TUBTaWsO09ocpqc1zOGzUxSKYnS0szlUrr2pmkZzcxzbtjGKBpYl6mSaKhMOKHUDLsCtmztoCmtMZww6WkKsWRbn0OkpiqbDG25eTm97hFAoSCCgkSuYZXttSZLwgKzh8dQLo2RyFuv7WwGHZW0RVnTHiIY1nnphvKRXK2M7Lg/su4imSLge9HdF6G2Pcm4kA56LoshEQyrvunslRdPhyWNj4Imt+chknsePjLLnxkpg8f20qstAkiSO/dqdy2htjjI6lePSWJqfHLhEMmsQDqpEApVr0dwUYCplCHEfWyw6rXEhCO538D3g+MUUQU3BcUTTMBQMYNouDzxyqlz3HJ4q0BTW6GoNUzQdVvcIS5xnT47jOh6rlsVIptpZ3h4lV7CZmC4gyzLRsEZTNEjRtDl8NklfT5yJmYqWxlTapGjaNEWiKIoQxm+K6EymijRFdJqjwmIqlat17K1GOm8yNmPQ1dEkGBrHhlHpYFnVpJosSyhKaSAmoBOJiAaV713n/5lN9fLLFKqqkM3msSy7XJ4Q5Sav9Gz6wZdFE5xrTWEM4Od+7i3EYmLA5I477uKRRx4iGo1ekcIYXCdBdyF4nqB/BQKqEDWpQ/+qfm2jMddxXZ45MYasiGKmaTlMpoqs72/m5KUkozNFQrpCsWhz/95zJKI6qZyJZbv0dUQ5O5Tm7XetJFQ6L39stz0RYFlbmMGxLJIkDAVv3dTOtjWtnBlKMzZTEFNCsoQkS9ywup1cLodp2qzvi/PUsfGydsMNq+e3MJEkic2rav9/x7o2wX+VZBIJ4WqQTGZY0xPm4AlZDAi4Lq3xIOcvTZNMiykqTZWRJJU37F5NIKDhOA6PHhnHcjymkgWGJnPkCjbxqE5ve4THj0wAHork4UkSrU0Bdm/pIhxUmUgWsGwPzZ/xl6R5ZRKrceTsFPuOCHff9niQt+5ezrreKJvetRlFkdE0jefPTHLkzBSO69IaCwEyjiPqkK7r8eyJqdKYsctkyihn381RnaPnZ7Bdj7Z4gC0rEqTMynU8fHaa9kSApohONOzR3xnleMl3LaApOLbHvx+4xEy6SDJj4HgOIV2hvyOKZTtcKjVMj19OMTlToKslhLgjKAvnRIIqM4pMNm+B54l6cjSALEtMpw2Wtc+1ydE0FctzkSWZYtEojcXDdMaoCbqi/m6VF2z/c/kj4pqmlWvY1cFX17U59MPZ95jkayCX0EggXqqW7k8Tnufxvve9h6985e/p6OjkmWeeZt26DbS0tFyRwhhc50FXVZWyDU899a/ZWEqm67piEq5Wk0zi53av4j7H5e/uP4znQTpn4roeUxkTXBcJiWzBQtdkTl1KsWVlC54nRoH9G/SubV0MT+YxLZflnREkPMK6xA0r4sirmpnK2himR1dLkFhETAVFoxJNTVE6WpvY+9xlJLx5R3/nw3Onp3ny2DiW7dLdGuLtd/ajKjIdzWHedfcKjp2fKTeG9h+fKF8zUXfzmElmUBWJJ46Oc3kkw9BUjlTOQlNlFEXGsFzGpovkihaRoEZni+j+b1nVwoqeGE8fHyca0ulpDTE0kcVDIhRQWN+fWPC8NU3lqeNTYrHxXManczx6eJTX37y8lBFDsWiysjNEa6SDTMGir6uJf/jhKeKxYClL9shbHrff0MPXHjxJJmeiKDLHzidpiup0tYYxLQcJKJpuzb1iWk555yFLEmPTeSRZqrn+Jy4maW0KsLq3qWxp394SYTxZpDmq4zoOruOgKUIFTtNUNgw0kynYQprRcbl1SxfdzSH2Pj9CPKyVJsagp7WW0SFJEpGIGE5oKtpYdiWYuo5HU0QrT5zNh9rdREUox/cq8zPSUChQ8ha0azjF8wXOeoHYfz9FEYM7xaJR8/OXUmNBkiQ+9rFP8N/+2x8QCAQZGFjBm9/8NmRZviKFMbiOgm51lir0BAIoiozjOOUppsWP0fgXrKkya5bFOXFxBgmR7e3Y2I1t25iGCCrZggg4ruciI5ErinHR5qiG64GugufNPS8hghOZ87NQKFiqRxsUCkVwLTIZq/z/iiLzoycHOT8iJsHOjeR4171raGvSF+z8S5KErGo8fnS8PLo5OJrhscNj7LlRjAN3tYTpqqJrrepp4vJ4HlkWmVJvexhNlbk0luXiaIa25iC255LKmUSCajlwOMJWgUhIQ9eVMg/2+MUkEmBYWcDDQ8JDorM5TM88nl2KIlTeLNslVzDx3MqEmFUnO37+zBT/tv8yBcOmsyVMLKRimG75+W8Kq9y4roNv7z0nMjxVplC0SWYM4Y1WCqydLSGSWYvJVBFFFt9V9ZRdc0zwvJMZo1SO8YgEFS6N50jmhIDQ8s4Y771vLY8evMSh05Pl3w1oMndurZiMjk8XOD+aIRoOsGN9B7qu0r+shedPT+DYLusHEvR0RMrfrSgPhDAMk5mZNJoCt27q4IULSYqGzVimwCMHR9B1md2bu+jratxI0lddE2yKWsWyinCSXqJ6uXPqxAtlsJFIiGAwQC4npiR9W/bq36muE/80MVthbNeuW9i165Y5r7sShTG4joIu+IGp2gPNKnEcfzor5X0399HdGiFvOvR1RElElPKwxB03dLP3+WEAOprDTCaFiLjjuKTyFuv7E3NEX+aDf7ObpsXMTHpecZ+ZdLFEVJcwXQfTggNHh3n9rQM1DafqB8GfnR8aS5HLG5WRZEmiaM6/UPW2R7h3Rw+XJ7IEdZUNAyIbNSy3nEH1tkeZzlhInkc0oZLJWWzoT5A3bcamCti2TUdzmOamACAzPJVneDzLVLooDBLbI3iey9FzM9ywugWJShMnHA4SCOjk8wWKRZOetjCXRjNkizaW7bB6WaxmERWOzUMUTAckwUIIBhSCmkJXa5iBrig71rZiGgZBXUFCEpxXhbIAkIRwNd6xoVvUw9N5FAkKhsPeQyNkChaJqM7uGwTl7MBxIY6+sifG/hfGOTOUQVUUwCOdNTh6epyNAwlOXUqRL1p4iMWteuvf0RKiozQ+LgYmDJoCcOeW9tIwj5BojETU8nU3TVPoMSgyjuPS0xahpy3CI88Nl1XjHAeeemG8oaArFrcwnueRTGbmLNzVHPHK78il81MJhYKlIMqcOrEsS0SjERzHmXNvz27YVerEHp738hwBhuso6IZCemn6rNYD7ae1PdF1DV3X2LaunelklkOnprBdj9W9TbQnxIPyrrtX4Xkez56c4MxQBoCCYWHZDjs3LG6jomkakUgI13VLxPiFs3VZguodo+d5eK4rsmL/NbJU7vqHQsHy69qaI/R2RBmfrjQHVi9bWJ2qsyVUYwsO0NcZ4fhgEscVGf7GvpgYm5UkNg0009cVxfU8TlxMUjQdNq9o5rEjo4wn8wxPpHFd8RkKpkM6b9GWCHN8MM2R80lkSWLXpg5u3tyLYdQuQG+7o59/+vczFMwcrS0RUjmLZ05MsnODGFIxTId80cbzPAxTiHJbjkcooVIoOty5tZtIOEg4HOTem5bxo8cvYNsuXS1h3rK7nxODKTzPY8f6DhJRoeG7rKsZRVFwHJe+nmYsyy5vr0Fo5/rIFBwuTRQxDBtNlcRYcNEiFIjxtjv7OTmYQlNl1vclGrDXgedOT7L30AgA3S0RNq5uo6MpQG97uGxZXl2HtW0b15PKrhggyiKuJ2yL5ntOwuFgTQbaKISlugtUShuyLJcz4mBQR1W1UtPZKWk5q6USxXw1fA+QS8H42pxEawTXTdB1HK+uB5pXmkpqFIsV84UZo9BeNU1R8/rhE4NkSor954fTvHbnMtoTIhhJkoSmSHiui6opNEXF7/Z2tRAKqKQzRfa/MELRsOltF9NpiqIQiQhx9Fwu39CwBgjb9q7mIEcvJJFliWWtYXbOEtaWJLmc/afTWTGeaTkcu5Bi7bI4Xa0RZFlm08pW1ixrKmcklmUv2uBQFIX2eIx33hNl/9EhHMdlbV83sVksDVmSWN+f4AdPDPL44TFA1BddBzRNJhEVOhVFw2J4IlVyt9WRFJmnjk6wfqCdpoiGLIfLAUWSHOJRvcaxYXhKLCCXxrJ89/FBZjIGpuWUdYNDJTbDTNag6Mi0BTRSqQw3r29lbW+UVNaktz2CpsoMdFcWoGLRpJo3iiTx1AsTPHdyElmRuGNrL7du6cYpUeI0TWXLKo2DJycwLfGeAU1hZWmUNqirNc7JIGQ69x8bx/U8Ng001wjeDI5m+OZD5/A8KBRtLo6J3UF7IsiOda2s6G7Cr8NKEmVmwkBPnPFkEV0X2//OljBICj96apCpdIFISOOOLZ2l8WelnIFW++K9GLiui2mKUehAQMeyLHK5QikrVtF1nXDYZ06I7/WZZ55BVXX6+vrR9SCiFvTyzXLhOgq6hmHNI+94ZUpjswOMoohgJctSSdvWIRjUSzxds8wj9Tw4N5ymPREqi4hvGEgwOpVjLFlEkmDzQDO2aZBzLP5t/yUxNaUoTJ1L0xyPsbY/UfI9a9zbDcT7mo5wgDUsh/YW4ZALleaKrmvlLTkICcpv771AriAyklhY5x13DRAMqBSLZrn8ILaXVE2GVep01cf2M6JtCzAnAJ48OsbRCzPlrC6gymwcSIjrLkmMzxTo7xQZa8F0UVQF27IxLJuLlyfo724qc3XD4SCKopKIh3GSxZJ/mFumyz10cJhs0aKrNcRMRjQ2IwGFWGkCKxRUCOtizNbH+EyBRw6NYDseN6xsqclaZ2Pvc8M88tww2YKg1Q2NZcgXityzc6BsjdPaHOG/vGETTx8bxfUctq5uIRJQ59xnk8kiZ4ZSPHN8Aq90bc6PZHjbHQN0lRpmR84ncV0xAGK7HrbhUjTF5N3liVwp6ApUvjOblV1hTKOZkak8sYjOLZu72PvcCJmiQ6ikm/zs6STvurcdRVHI5fKL6kUvBZIE4XAIXddrju267iz6X2Wh2L//KR5++GEGBy/R39/Pzp0384EPfPiqndNLgesm6M6HF6M0BrV14kLBnHMTBnUFJK/q9z1UWcZ1K40DRZa496ZeCoaDokgENNEkSGeKTCTz6CXfLFVVuTiaZnlHBFVVSCSa5g109XB5IociC+nBGBrpnIVpuSTiYUKhYLm5Uv37Jy+myBWs8jXK5E1OXUqxeWXLnPn46u2hX6fzr5Ft22WuZiNIZs2abXSuaLOyN8b4TKFkj+6x9/kxTFs0ZNYuixMJa0SCKh3NofL2tVpwaEt/nB+NpTk3JLi2W9e0owdDuMhC3tHzaG0K0tIUoLs1wrmRTGnEuRNFqmxp03mT//vIefKGKBOMTuVJRHW2zKLYZQoWP356iENnJplMGgQDCookYdguPzk4wtHzSRIRjZ+7dTmaKqMpMndu6ypfQ0VR8Ty3/N2evDjN/fsukMoYTCSLtMYDtDQFsR2PM0NpulrD6LpGIh5BVUR/QAJcKE+BafPIZvpY358os0FsyyaZKWCZFhagqAqGKQuNBdclFotUNcQqtdgrUQDTNJVoNFx2lF7oGP49b1k273vfr/O+972fYtHg7NkzpNPJJb/3tYZXg+4CrxdMgbl14urXNkWDbF7RwrFzM7ieR1siwKYViTk3lSRJc8YjdU0hpGtomorruRSLBpIbJJ8vlF9TCXQqlycLPHl0DNtxWdHdxO1bOmsoOn4w988/oCu0t8XnbYAAqKpUs9B4Hmhq/YEKf3tomlapeRMu/UwYQ1YyYm/RznVPW5gj52bE+3piVPihZ4dLnf0IR8/NIEkSuiLjuS7jyQJ3DiRYuzzO8GSerpZQjSwkQGs8QDSgMNAVRVUkMtkCP37qPP2dEeFvJosFcsvqDl5/2wDFolHXHffyeI5swS6XpVwPTl5KEQmp9LaFCZRGxZ88Ok4mLyyMkASVLBZWyRUsLDtHLm+KRWwwyW+8dQPxiI7jmHUbTqqqcvD0DJKkEArpSGmDdM6mLSHj2K4YpGiKIMsKN61J8MyxIIPj2ZJnXYBERHio3bBq7ijvQmhPBJlOmwQCor4aCyskk+lZ56eWymrarIVi8USgmr7W+KLs4XkyoowgFpFgMMimTZuX9NmuVbwadOu8XtdVIpEglmXXrRPPPvb2te2s70tQNG3iUa2hRoiqqsTjIe7a4bHvuUuYlkNHIjhnoMEPdOlskR88fh5K73noVJFEVGPjylYOnpimYFi0NYVpy9tMJAsEAzq3b+2mUFhYMW1DfzNnhzMMTQiC/vL2CGuWz8+qqIigK+Ryhbrbz+qFQmTEtRmdbTtsX9tO0XQ5N5RmJitKHZqmoCoKF8fy5AwLCaGFK0sSLbEAy9sjPHZ4FDwJTZO5d3s3bYnaRp5pezUjwwXD5r5dvUSCCsmczbLOJravaSGbzVedn1KzoxjoaSIcVMvsjaJhl61/oiGNN93eRzyiUzTEde1sDlG0XJIZA1WRCOoyQV0p2e54DI7n+McfneJX37iOSFArD9IkojrhoFbO2E1DTBTKCP2KXKlPsHlNO3fvXCmagIbJZMqgozkklOQUmdW9MbavbSMS1JbUvwC4/YZempoiDI9nCSgeN89yoRY7itqFYu73Kxbp2Rmx705immYpu138fMRrFK6H2u18uG6C7nxfqOc1Prki3FHVeYXL6x1bVYUkpCxDKFB52KfTQgfXsl36OqNsWiEEQ2YHrfaYwtvu6C+NzM5/nsmMqCOXLbyBkYkMJy5MM5MuIisy54dg97Ze3rKnreywatuiXmxZFk8cGWVwLIumymxf20ZfZxRZlti1oZ2HCxa249GeCM57q/ud7ELBmHcKCSh5bTkcODbKdNogFlHZtaETXVdLNViRMb1hdwzbdnjs+cvse34UVZFxHA9V9ogFtbJvmE+cf/7MFLIktGIdx+P5szPcu6M26LbGA4yVHDvEziPI4XMpVC3AtjXNdDXr5S58/dKJSiIWob05zMmLM0iyRDSk0dEsMviCYfPsiQnu2dFLZ0uImZxFLBpiQ0inI66zoifGv+69wMh0oTwEocoSyYzJycEUyzsiPHRwBMN0kGW4dVMnq0oNtW2r2xieuoTreiQiOvftXMY9OwcIaDKZTLZ8joMTeSLhIJFwENfzmExbNMfDYsCiwR6ALMtEo0K0fFNfE+t7G1cGq97xVI4nlTNiodonQovIggUTZ2FNh7nZ7fWK6ybozgeRjS78GkWRCYcFfaoyWbNwwHVdrzQ546FpSnkYw7YdiobJo48NUjRtPNdjOj1FSFfZsraDQECfE7QkSbhJLISWpgDhoFqyqRHv35EIcr6kFaDIMoqqMjiaYaAjRN7zqkjrKqcup7k4UUSWVUzH5cljk/R2RMHzePzwWGmcV+L0UIZoWGPjQEVVyhfQtiyr4U72MycmOH1ZiLuMTnvkiw53besmnSnwg6cuMT5jEAurvGn3SnZt6uXI2RnBAJGhvTnCxv4EP3jqErbtEQ/rqIpEKmcR0JTS2LFUtsupxl3bunnmxAT5ok17S4jJlMXl8TSO43DolMsdN3SydvncCTc/kOTyBl978CTnLqcJ6grhgEqmYKEqClJpUdQCOuFwkNfcvIJEfJxLoynCAXH/fOuh81i2g2EKFbWArpKI6ngIB+VDp6fFwlKqvR46M1UOumv74sQiGoNjWZZ3x9m8qoNcrkAm45ebSoM+pilKURJIslwSEK8NdAtJYc435PBiINg8Vvn4xaJBPl+cJUxUq+mwf/8BYrEoPT3LUVWd6zm7rcYrJOjW/yJlWTTJfJcI07QJBvUFM2MRcNxyyaF6ZBFE2SBbsCmYDkFdg9KgcM4SlKpG+Lb1oGsKr9u1jAPHJ3BKhPs1y+McPp8ESbizGoaBjFY+twpp3WRoNIllCJtyuSRC46IQiQRwPAlN00ouBR4zGZEJ+qR4gEwm29BUnw/B1KjoJ0yWauIPPzfC4FgOWZJI5uDf9l/iF+9bzdt2L+e5M1MossyujZ185f4XCOkaclDCdWFwLI+sCL5tczTAQHeENb1zyyCqInPLpk7hsqCp/K9vPldjGX5+JFs36AI8cWSMx46Mcn4kA4hFyLJdVBmM0rVTZInNK1oJhYSt0q1berhlcw+2bfO5fz5YLo43RXRczyMcUJAkiRvXtLGqt4kzw+ma9/R1Mnz0dTWxcXUXlmXPOwhzw+pWJlLDFIo2suyydVV7eRH3M05FUeYMxLiuW97JzVfjv1L44jeKopBOV+6VesJEfiPxkUce4oknnmR8fIyVK1dz662388u//GtX7ZyuVVz3QbceKlq6wvokl6sdppgt5Ax+sPXK9ubzwbZtFMlF8gQNRlWF79bFkRSyBDeu6yQe12ZlIwtbk/joaA7xxtuEM7DP5X3NrgF+fOACRcOiNR6cw8v10d4c4sxQGtkFxxVlChyLQs4WnfCSZY0swUBvCy0tcTGVVjQpFouLZv6zEdAUMlXE+GDJWieTt0XnvtQhn5zJYRgmkZDG7i2ClmVaNooEiiKCnu24WLbLyp44BdPBsh3W9rexeU1nzXUEMbQSiYSxLIt0KoNE7XlX13urMTKZ49lTk+SLNqoiUzQdZFnGtF02rmph54Z2ipbL5tUddLWGSSbT5Wvib/tB1JSn0iau5xEKqNx5Yy+3bOwgHBBNzpXdTUzOTCDL4pqv7BHOyPUUu+ZDPKLz5tv7mM4YRIMq4WCFB+26HhPTWYqWQ1s8JISRqih9jiNU3RKJWJVWQmO7u/ngjx4XiwuXnaCi6WCaNh/84O/ywQ9+hFwux5kzp8nnF/7d6wXXTdBdqEhfzb0NBHSCwYqVer1hiupEd3awbaQ8HAxo3HfLCg68MEY6W2R0OottBUimC7xwboI37+4nFglW2VfPz4GdDTECGyqL+CRC8I47+0t2OvPXwlb3NpEv2gyOZlFUmR1rW8sB6I4tHTxzUoysDnTF2byqFcsS7g6KovDs6RkOHBsnqMvcuqWTzSua57XX9nHzhnYeeW6ETN4iFFS4eUM7mqayojfB6MyosF3xPLpbQ3N2FpoqZA8HuqKkcybZgoVpOSU3BgldVXEdp7yo+fP+vnpVsWhimiJb37WhgyeOCU2JRCxQnlCbjZmswUSyQCprIiEWCU2ViUd03nXvCrra4gQCOrlcoYbPC5XSxNaVzZwaTJbFZJpjAU5fSvGm3avQdeGMuyMWIdEU5vJYhmhYYU1v05KClg9VkemY1UQsGDb/+G+nuTCaRZUl1iyL8QuvW0dbS2zOkEN1xlk7lFA9pmsvGIjFCG9YyEs2vIObW7uNRKJs3XpjQ5/7esB1E3QXgueJDMiXHaynpVt5bdW8fskSu9FgK8tSifytoWkF/tPObo6dnxGWPKUDGKbD2aE0GweUeRs583X8fX7sbL6tsJVZ/ARvWNX8qNsDAAAgAElEQVTCDavmDi20N4d48x0ryhSwdDpbftieemGMB/YNll87kSzQ0hRi9fJmJEmes1D4gbgpovPm3f3YjnC98LO4mze2kc0WGZ3JEwmp3LN9rgC3JEnctbWLx46MoSkya5Y1MTSZJ1cUD3VAl1m7LFaqa5ql4QgZwzCwbbGFjkTE+92SiLFlTSfpbJFwUC6L4szG4bMzTKYMwUt1RJa6oS/OvTuX09fTjmVZTE2nmJgpoClySS+iFjdv6uDEYIoLoxlCAZVQQMF2HNKZLLIklb/jge4Yq5c3Cz2HUjJgGGZZi+BKp7/2PT/KxRFR43c9jwujOY5eSLMrqM1hmdRTEasNxMIwUohz19aIHccpLxTChr2xheKVwExoBNd90BXyjhK6rpLLFRddjf1OuaLIeJ61YCmhGqFQkFAoQLFoMjOTKmfeAU0p22SD71AwlwdbryNcGY8Ucnr+6yRJuMNWb6uXAs/zePbUJEMTOWLhAK+/bQXhkF6XAnbk7EzNv5OZIoMjM7RGlaqHVJ1XUCeiKQQCtYyHPdu7Fz3H5Z1Rfr4zWl4EK2OxsKonyo+fGSaVN2lvjvBztw0QLBrlYFWtEeAHkfaWSFkgxuc2VweSy+M5ElGdvOHguR7LO8L89ru3EwpoZDJZDNPmB08MMjZTAE80ve7a1k3BsElmTFrjAXRN4Z7t3Xz/CQu75BG3dXVrmUJY/R0Lvy+l7Izr73pkOYRpOyiSMKVcSvkpWxCiOX6At12PdDqPaTYmrFQ/EFemwzRNLQdizwPLEm7F/jVd4MivGGZCI7hug64sy4TDAWRZKC0VCsaiAdfvwMqyVHIkFYFOTMfU3/b7nX3btus2J1b2xrgwmuHShAg4y9sjrOpdWEimGoGAcAfwdRJ8RoKmqSXPMHHDV5/fYp/z6eMTPHVsHFVTkWWD7E9O8ebb++q+tilSq5sgSVJ5W1vPwWE+QR1NU4BgQzJ/s98PRB3zvl3CA+z+fRdJ5i0kZEYms3zv0TO8Y8+Kur/vB9VqrQR/oVBVlWAwgKIoxKIBMgWbJkVBkmB5dwIZtzwocOTsNJOpYrmEc+pSCkWGR54bJZ0zaU2EeO+9K1neGeU/37OScyMZmmOBslW5D38ySzgSV7b7pmlxcTTDI4dGMEwhFP/2PauIx0Koarj0WWq3/rMD8fKOCC9cTGFY4h4IBZQFOdeNoHqM2LdIz+cL5dKOpqllYR1/MTNNk9OnT9PV1V3SS3g1u63GdRV0fXGbUEhH04R2gGFYRCLBBhgJlbptPVWu2dt+vyHhed6CnX1Zkrh3R0+5e98WX/hcwK/b+tKFxRqGRDUjwYcfRKofgNmNuura3Mh0kUBQL9lbO1wez87L8rhtcydjM0UmZgT3dfcNnXO0fmedfSljqywU1RzO6mEEw7RIZ4tCV9j1GgrEoVAQyxVbcLe0uGSLjY0e+6gE4gpec1MP9z96kXTOpLM1zFvvXImu68iyIgLcLL63JEnsOzxGtmBRNB0GxzJ87d9P87Ff3EZrPEhrlUOz/3oxmaXNq2mw7/BYyclYOCT/x4GL3LdTLDS1Cl2BqkDsC/5IvPbW1Wi6zjPHx1BkeO1NPXS31tciXgpkWSYWCwMSqVSmfC/Nvob+fZjP5/nUpz7J2bNn6e1dxrp1G3jNa15XV5P2lQhpoRt9YiLz01cMvoqIRsXYrmlaJXsS8fNwOIBtu3Nu9EYZCdUQpPIQqqqWbnbxMFRvWS1r8WxzPvgcSsMwyeeLVzTnLkmUg5z/t6/cJMsy33nkNEfPTpaPHQtp/PIb1s57vGzBYny6QFsiSFNkfjcKf3hi9kJRDxPJIt9/4hKpnEkiFuDtd6+lvys6Z7HwP351hvjth05xajBZ4uqKibXmWJCALgTA22c1mBa/XiIgIsmMTaYJaoIaVn39MgWbbz98BsMU320srHHmUoqLY6L0IElCa/cdd63g7ll16mph8Xy+ULfp63kef/+DUzXc466WMG+aZwcCIiHQNFF7rV4QroQZMx98G/hGvtPKZwEQ1vXnz5/jxInjtLW1s3v3nVd8Hi83tLfH5s2srqugG4loois+6yYLhYScYnV26CuANapEX5191iOVCzHpyrZ1sWxzNqq1c3O5/BXTd+Y7d58yZFnCFPM7j55jdCpPOKDyupuX0dsWKQW5xq5HrmDx8HMjZAs2nS0h3nzXWjzXIZcrNHSMbz10riy9CNAeD/JLr187Z7Fwqzi2/oNvOy6PPj/KTNoglTPJFG200uBCNKTxX163msNnphmeztMeD7JjXVvdLP7MUJqhiTyxWIhd69twbGtBFkwya3DqcgZNVdi1sZPvP3GR7zxyrhwoE1GdjQPN/PLr1wC1U1/ZbH7R+vv3nxhkeFKMY7uux66NHXVt0X3UG3Ko3lX4f8PSA7GiyESjETzPI5vNN8TpFZfBLyO8smu3r5igqyj1jSWDQZGdFYvmkoOt+H0/+7RKmUpjvyu2/NXZpjTn5hcBMbxk7dyln/vcLMv1PAIlwR3/HBulrn1n73lGZgpoqgZ4rO6JcXcDDTIf/+fB00ynKwtXNKiya2MHU+ki3S1h1vcnylmWWEjd8jmKBpM4twcePcfZoVTlM7keG1ck2P/CRIkZALs2tHHvjt6a9z8/kmHv82PIkoxpWTTHdN5+58CSdTo++X8OMZMxCGgqsYjGhoEW7t3Zx/h0jg0r2ghq8NThIS5P5GiLB9m+trXmPUan8jx7Stj1bFvdwvmRLLmiTU9riM0rW+qeT7WTQyMBcamB2G8KL0W43M9ur4XarW3bfPKT/53R0RFkWeajH/0jFEXhU5/6H0iSxMqVq/jIRz5al49/tbBQ0L3uarr1nhkhmyhsUnwKWCMQRHshI1hdy2oUfgNiLiVHLc2ni9podY12IQH10ak8F0azxMIaGwcSCwaIahWw+c5dlqQ6jTC5plPtq0pVGnXCHSFddNF1HccW/NnJVGHO8RdCf2eUyWRRmCu6Hpbj8uihEWRZ4viFFJ6scfOmaN3mZHUzsacjxsWxPJIkvudQQOHiaK5qGg5OX07XBN1wOMRYchrP8zBLpo2TySIFw5mjBOfDdlzSOZNIUCOgVyQtf/G1q/ju40LEvjmqEdYl/v57xwD4yTOXWLe8mcNnhcvw8cEUedPjNTf1Yts2k8kC3957AcMSGfDF0Sy/+LrVxEIapy+nOHx2mnXL4zVqalfi5OA3iBfSSvBrxCCuYy5XqHEHng/XYnb75JOP4TgOX/nK3/P000/xN3/zZWzb5td//bfYvv0mPvOZP2Hfvr3cddfdL8n5XVdBtx78G05RFOLxaJ1Mzp6zpax2bliKRuxi8Lv9ftDwPa/Ev+cPcrbtcGEkw4NPD4EnatBjM4W6HNdqQZ1strEHpxoLUddEI0w4S7TGQwxPiiEBCZbsPHzn1i4iQZWxmQItTUFODibJFwV1SpIljp6dYMPy+g276mbipv4Y45MZhqcKhEM6r9m5nAf3X0LLWPh+WkFdLdEAxfdqWTa2JcxK/eCsqjK6Vj9oJLMG33tskKmM8E+7a1s3G0qatCt6mvjQOzdRNB0SsTB/8a3DeK5wR8jaDvsOXSYS0vD9vk5fmuENtw0QDgc5ciGD40koioLreRQMh1ODSUamCpwcTCFJgmny868RLIZoNFzXS+xKMDsQ+8HcMMzyEFEk4rN3Khmxv+vwdxHXSnZbjeXL+3Ecp1Sqy6GqKseOHeXGG3cAcMstt3HgwP5Xg+7VRnWTzGcYwNxMTlXV8nZV8CUFC6DaXeFqYb7s03HmD3KBgCD5P3xovFTjFE2/M5dT7NnWXZbykyQIhUIEg6Lm3Ohk02KwHZd9z4+QLTgs62ri9ht6yGRy7NnawU8O2qWaboS33LUKVZYarmFLksRNVSPLF8dy2K4Q5rZNGzm68K3peh7PnZoiX7TYuKKZe2+qZLK3bGhldDJLJm8Ti+jcd3M/8XgTUsmPy/M8dm/rZiJVYHy6gKrK3Lapo0wHKxo2h89NAxJbVzUL3dyCha4Kf7Enjo6xvi9e0V0O6LS2hMmX9Duq66W+SI6/AMgSFZ0E18KybRRZRpYlZEkhFo3w6JEJNE24SqTzFofPpXjD7rar7uQAgnEwnzEkzM6Idb73vQf44he/yLp161m7dj3r1m3gttvuQNeXtuj+NBEKhRgdHea9730nqVSST3/6Lzh06Lny9xUOR8jlsosc5aeH6zLoVtdtZ+/A62dyCuFwkHA4VKZOBQKCv1m9ul8pFEVeUt22noapZVt4pfFSWZFRVY14PIbr+poD+pJUwBrFT54d5tJ4HkVVuDQ+QiqdZ/cNXURDKm+p6qznMllxXoqKrquljnplrNQXC599HdXStNrdO5bxwKNnKRo20ZDGLbN0XavheR7fe3yQc0NpZFni0NkZ3nJ7X9m2vK8zym+8ZT3TaYOejiaa4xEujyb54RPnKZoOPe1R3nj7Cn7lTVsomm7J7N3Dtm2yOYNvPXyeTMm+6NSlFJFZJQfLcvE8oQ0RiQiRl0wmh23bbBxIcOTstFBt02T2bFvG0ycmy1b01bY/6/riDI5nOXp+BmzYurqFlqiC6wh7orLAuaaWEwKg7nW8EkQiIQIBnWx2/mA+OyO+7743sGPHLRw/fpyTJ0/w4IM/pKurh/XrN7zo87la+Na3/pldu27lN3/ztxkbG+XDH/4tbLvy+fL5HNFo49bzVxvXVdD1+bPUzIAtjOrhhpmZdPlm9ptg/jjk7CZYI0aNC/Ftl4oda1oZGs9RNCyQJG5e1Y5lmYRCFbqQrmulsc2rQxcKBHSSObEFN00LPI+RKrfgahw4PsFzp6bwPI/1fQnuurGrZrR57sSaU54Qy+XydMY1ful1a0hmDVpigRqDydkomg7nhtMVZwfH5ej5mXLQBYiEdDrbE7iucM34vw9XGnfjyQIyHntu7J4zVXf0fArDAV3T8DyXTMGiOaqXvmsJD4/+rlhpkQ7Okem8b2cvy9rDpHIWa3qbaG8OccPqVmYyBvGIXq4Hg7g/7tu5jLu2doNE2fljZXeUwXHRsA2oMmt7wxQKxQUn/5YSiFVVJRYLY1mNlyqqa7etrR3s3t3B7t13NfR+P2vEYk0oightTU1xbNtmzZp1HDz4DNu338RTTz3B9u03vWTnd50F3eqanFfzt2ieVZPbIR6P4Xn1ZQvna4KJSbDZRo1zeaXVrIGrUYNrjQd5z70rGZrI0dwUpL+nucYIsnKOYrFYqpBONXzFf/CQcUvXQSCkz71lRiZzHDg+Xg7+R85P090WYl1foq60XzgcLNH4xCCA750Vsh1ikcCi56iU9IOrX6OUyywV/Qt/O+64HslMpVQkSxJTaTGsInQPLB45OEQqZ1I0bAzTQi1t+SVJxnAglbPJGzarl8V5z+s2Ikte3QalJElsWlGrb6GpMh3N83OHqwNxMBjgv75lK08eGSKdKbBxoJlYWJtHIrGy7a/OgudbdKV5jCEXw7VWu/3qV/+Bxx57FMuyePvb38m2bTtqmAm/+Zsf4s///JN84AO/hmVZvP/9H2T9+g18+tOf4q//+sv09w+wZ8+9L9n5X1eUsfrwqA7Aly4N8td//ZdIEnz60599UTUyWZZruLk+r9TnWebzeUzz6lLAfBpVsWhSKNQn2s8+x8rEmjBDFGaDtYEYaqem8nkRzMenC/zHM0NkCxaJqM5/umU58VkDEkfPzfDIoeEaNsXOdW3s2lhbIqgEc8hm8+UBkupz9KeuKj5rcxc0gMePjLH/+AR4HvGIxjvvXklHS7RqCKF2sOQff3SqbAvkeR7bVreWhxh++OQgJwZTyJKE7bpoqlzWS4iGVIYn86KsIwva33tft5YbVrdf0YK20Pfkc3ozmfwVDdcsRA1zXRdNUwVPu0Eu9bXITDh48Bm+8Y1/4s/+7HMUi0W+/vWvcurUCd797l8oMxN27br1JWuS+XjFUMbqo7I6P/jgD/niFz/HL/zCL/GOd/xnDMPBFxmHudnwYhC2NMLfyq/bCrUrs5RxhYnFKkMS89U1G0EjFLD5znF+NkJFv8GXIzRNuybz72gJ8d7XrlpQOnKgO0rgmIJZcrVQJImB7oq+RHWZpR7VaTHGRDisz+Hn3nVjD2uXN5HOWQz0xGiOx5BlqUZAuxpvvK2PHz87TK5o0d0S5s5tFU7x4HiuHGRVWaYtHuTWjR3IssTYdJ6RqUKJVeLh2DaDwzMsa9EbUoZrJBD7C+mLdXKoRw3z70tfS1fXNXRdqyqT+QvaXInTaym79XHgwFOsWrWaj3/898nlcnzwgx/me9+7/5phJjSCV0DQrWDHjl187Wv/l+bm5jr/68/+L1yWmI3F6rbVI7n16nH13Gir4Y8dK8qVUcDqodKoM1FVlWg0JLQQDKv0fpGSUNDCTTAf0ZDGm27r49mTkziex5aVLeXtdPUI7FLKLPWaidX2Q8Ggzvp4rNz4NAyT8cksRcMiHp3r/tEaD/Lue1bWfa+grlA0KoE6pCus7G1CkiR6uxIcODlNNl+iUukKa5YJ4fHFFwsN36nBv4b+9+5/Hn/I4Wo7OUBF0N00TTKZbHmnUK3jIJxTwhiGyR/90R/R29vL6tVrWbduAy0t9bWHX0qkUklGR0f49Kc/z8jIEB/96EfwPPeaYSY0gldU0G1ra1vgf2ev6CIA+8LYlZ9RCpo2zz77NPfd91ps2503oAgJvLm6pWIKrFoAxqsKxA6OY9dQwNLpq6uqL7R/w2iaWre+t9hiMbuZ2NUa5uduq7AZqq1+5ss+l4pqfq6vxeA4LpZl8fDBYZ48OorjCO7se+9bDZ5gJBQN4Y4x3zDJnm3d/NuBy+QKNs0xnbu2ddcIi7/l9uXsf2EcSYKd6ztoTwTrHkecY73FQq65lv737S8WxaJx1a1zfNtzn1VRjXqLhSRJ7NlzN4cPH+ab3/wGJ04cZ/v2m/iTP/nMVTuvq4Gmpjh9fQNomkZf3wC6HmB8fKz8/y81M6ERvKKC7tJQb1slAvFTTz3Jl770BTo7O9ixY2epdra08dF620D/wYzFAiXNUvE61/Ua0CxtHJW6sMHMTP1gvthiMV8z0V8sROZ/9bnOsiyVBcr9wZXptMHeg5fLbIZzQzPsOzTM7Vt7+NYjFxieyBHUFe7b1ceaZbE5WftAd4xfe+M6CoZDU0SnqSmCUNQSbgh9ndEaZsRSUR2Ixc4iXAp8Vnlxmq3ze6WiSbquEY2GyzuLRuB54s8tt+zmllvuLP3MK7tvXEu44YZt/Mu/fJ33vOcXmJqapFgssGPHrmuGmdAIXgGNtKuLCxfO84lPfJT3v/8D7N59V4kHXJ0JX1l9GGobTblcvvSzSmPE3/JXa+cuJUOqrgs3KmKyGKqHTTRNK8td+gH7SoXW66Fa4OXA0RFmsiYru8WU4df+40xNzfnGta04jsfhs9PIpWmwcEjl935+O7qu1c3aQ6FAwyppS4VgDoRrWBWzUdtMrCeaNH8grjaGzGZzDV/za7F2OzMzza/+6n/hL/7iy3U1E77ylf/FwYPP4rouv/EbH6S7u4dPf/pTWJZFf/9AWWvhpcQrRvDm2sDcuvBigbgea6AeKlv+yoPplzrmE1mHFz8avBgqwx9CTcvzqjV+lfKQSfXo9VJ0LCqlCiHw8uD+Szx/ZgpJEhKMr72plyePjTOVFg7EmirzrrtX8PQLE5wZzlSuA/DBd2wkoCk1nX5N08qdfsuyFryWjeDUpRQzaYO1fXGaY4Eas8xGmQM+Fg/EQkzcL4Xk88XFD8q1yUwAcS9/4hMf4/z5c/z5n/9P/vIvv3DNMRMawSucvfCzxvxlidn1Yds2eeCB+xkY6OfOO/eQTFZsfuqhdssvMFcgvFa7QVhxa3NI/FcL4bCoO9cTW59PaL16Wm2hrN3nlVazHjzP4/jFZLk+67geL1xM8vOvWckTR8exbI8tKxP0tkUY6ypw+nIaSRYiQh2tYQKloQvXFdm4P1Aiap9O+Tzr62BUmmDz4cfPDLH/+Dh48MSxcX75jRtZ2Rwim81dkYbHbMH16lq7X0rwXwdSiZmw0A7Iw/P8QHvtZLc+vvSlz/PWt76Dr371HwA4efLEy4qZ0AheDbo/E8y9uQ8efJrPfOZPWb58OXfccRe5nFDpWjptrX592N+Ki2MK+6HKtNrSMs16qM7eGmElzA0eC/urAQQCgbrHV2WJ6lxdkSEc1HhNlf4CwPa1onF6YTRLSFe4+8YKTayaVVG92C3ERvCbYBXqml3zuWzH5eCpKSQkJFnCcjz2HRqmOXz1Mkl/4RUccbW82C10Lc+dO48kybS3dyBJ165X2Q9/+D0SiQQ333xrOehWO5q8HJgJjeDVoPsS4fjxF/jQhz7CbbftrvqpOw9bovFA7JcSZFnoAfjZ1eKZZmMjwxUSv3zF2RvM769WcUIQQaHiGFHJNHdubGff82M4jks4qHLLxs5532f72rZy8K09//k5vdWYj7rmD8X4Hmu27VA0TGRZQkEBCWzbxbrKAjX++UtSrXVO/Yk1cY4PPvgjvv3tf8VxHNav38CmTVt473t/iUBgrqPxS4kf/OC7SJLEM88c4MyZU3zyk39MMlkxRn05MBMawas13WsaC9WH577al+drhGRf/VD6jTCgik86t6a5lONfCXzx7FonBLnMmKgWMR8eTzM8maWvI4yuNpa1Xa0hhHrwyzs/enKQx48MIyER1GV+/rVr6G0LX/FQTDXqOUUsBr9263kwOTnFiRMvcOHCed75zvcQCi3N1uhnid/+7ffzB3/wcb785S/wnvdUarrbt9/Evffe91Kf3qJ4tZF2XaE2EHuey969j/D3f/+3/N3f/W9CofAVi9xUm3BWjwwL1waRzWWzuauqYgYVVoXjCLufxYJTtYi5L5qzkDWSr2Tmuo1bzywFs50cjp2fYiZjsmlFC11t0fJiUc85pNHdRSwmtIWz2VyDpaFru3a7GPygK0nSNcdMaASvBt3rFMVikY997CPMzEzz+7//UbZsuaH0P1dOW6uGv5VVVaUkvi4vGuCWgmoSfy5XeFE6GNW26pqmlMsnIKEo8pKcFpaCpTg5VIsm+ecLC7NPrtwY8tpiJti2zZ/+6f/LyMgIlmXyvvf9KgMDK3+mFjo/S7wadK9TWJbFvn17ufPOPeUHWGDptLXZqGz1jRpLeqgf4GarrS2WwVUmvoR329VGIKARDgtOcsWuaXF6XaPwaVo/fnqQC0NJ4hGNe3b0zKtPMR+qdxfVYj+O46IoQjQ9k8k1mJ1XZ7fXVvD6wQ++y5kzp/nwh3+PVCrJr/zKL7BmzdqXJR2sEbwadF8FcwNx/SCczWZYtqy34a2+OEalPuxncfPZIlWPB1crjV0t+BNrYkggX0PxmqvCVStQ4wfjhT9rZcjhOw+fZN+hkbI/24aBZt65Z8WL/gw+Dc+3E5ot9lNv4ORazG6rkc/nAY9wOEIqleTXfu19WJbJd77zQyRJYt++RzhwYD+/93sffalP9argVZ7uq2A+/rC/6E5MjPHlL3+Rixcv8E//9M9YVuPBsJqJUCglrfVskWbrDVztgFtpNNXnJM9Hr/MDcSQylxJWPY5bEZARDh3nhlPlhqYkSVyeeHE8aEVRiMXCJeH1WgeQ2WI/iqLw9a9/ncOHD7NmzVrWrdvEqlVryxn9tYZwWCy0+XyOP/qjj/Lrv/5bfPnLn7/u6GCN4NWg+4qGCMRi2/ebvPWt7+RjH/sEplmd/V657KXPeRXBSi6P2/qNrdn14Su1RaqeWFuqa/PilLBgebQZoFAwME0xpBEO1D4+s/+9FCxWG64W+/GxbdsOCgWDI0eO8K1v/Qujo8P81V/9b9asWXfF5/HTxNjYKB//+B/wtre9k/vu+0/81V99sfx/1wsdrBG8Wl54FRiGQSaTpq2tnpRf/fpwI0HY5wz7ljz1OL1+XXi+Dv9itkj+Vvyn1Sjza8+maZV9yvzzHJ3M8tUfnWB8Jk8spPLm2/vp61pa4Kg2hhQj1I08cvVrt4ZhXHPcWx/T01N86EO/we/+7h9y0027APjDP/zdlyUdrBFc1zXdvXsf5uGHf8z/+B+fAuDo0SN84QufRVUVdu68hf/6X9+P67p87nN/xpkzp9E0jY997BMsW7b8JT7zlzMWrg/bts3p0ye5/fbb6jbiFkJth392fbhWb8C3+VmqnkEjWMzJwT9PRVFwPIiGA0iStCDPeTYaMYacjWu5drvQc/b5z3+Whx76D/r6+suv//CHf58vfOGzLzs6WCO4bmu6n//8Zzlw4EnWrFlb/tlnP/unfOpTn6anp5c/+IMPc/LkCUZHhzFNk7/+63/g6NEjfOlLf8Gf/dn/fAnP/OWO+evDhw8f4nOf+zR9fX1s2LAZcOu8dn7Un1Sr2CL5LhLgD3LYJfW1q1cfbmSIYvZ5zhjGgk4S1Ypr/pSdZdlLEHa/dpkJPvbte2Te5+x3fuf3+Z3f+f05v/OlL/3Nz/o0X3K8rIPuli03cOede3jggW8DkMtlsSyT3t5lAOzadSvPPnuAqalJbr75VgA2b97CiRPHX7Jzvn4hceLEcf74j/8bH/rQR7jnnntLWZlCI9N0C8G3RQKJQECnUDBKQua1ddcXa4v0Yp0cFnOSCAbD5UzOD9iNLBi18ovXZsAFOHz40KvPWQN4WQTd73//fr75zX+u+dnHP/7fuffe+zh48Jnyz3K5HOFwpPzvcDjM8PAQuVyOSKRSa/OFX2q5ra/ixWLdug3867/+YAGC+2y1tcaadIoilxplFWFxoPS374T84myRljLksBT4jTrXVdF1rcTcMMsllFCodsGwbadcjpFl6ZrPbqvx6nPWGF4WV+ONb3wrb3zjWxd9XSQSoVDIl/+dz+eJRmMYRrHEExQQZPnaj/7Vr/5/7N//BADZbJbp6Sm++90H+cY3vsb3v/9dEokEAH/4hx+nr1e9FlcAAAwcSURBVG/gKnyq6w+SNL8lTukVLERbmx2ITdPi4Yd/wtvf/jYMw1pwIutKbZGAku2PsyQPt0ZRPXXnO10ANXzg2XKNX/zi57n//vtZt24969dvZOPGzdx66+5rPnhFIpFFn7NX8TIJuo0iEomiqhpDQ5fp6enlwIEn+ZVfeT8TE2M8/v+3d+ZhVVZ5HP9cWW4YoDO4MG6Z8HQkFWPcUcylHJ9wwxzMXVwIUFAQNVECtLRBH7XEMhfC0kqzUjN7dEqzscdxGcPRwOOSiUup6agsEds7f1y8gt7LJhcucD5/3Xvee97nnAfu7z33d77n+/v+X/Tv/zynTp2kTRv3h/qOGzeRceMmAjBnzkyCg0MBOHNGsmBBHG3belTlVOoQpmvTHT9+nKVLl+Du7k7//s9jY2NbbtmaqbJIRQ10nJ0fQ6fTGU+t3fOiraz8cNHCkLdv3zXrlVz8gZFNYGAI/v5jSElJJTX1R778cietWrXmiSdaV8q4LEWHDh1L/Z4palnQBYiMnEdc3AIKCgro0qUb7dq1p6DgaY4ePUxQ0CQ0TSMqKsZs/wMH9uHk5GTMTUmZyqZN73Hz5k28vXsxblxAVU2ljqIjKyuLlSuXERQUSu/efTBnAl8Rb4n7AdaeP/7IJSvrd2PetfjP/bJVQjY5A53hVJydnY3JwpDmKJq7bdjQBW/vXg9Yf1o3vXv3LfP3rC5T4yVjFcFcjtjDox1TpownNvZ1o9QlMXEtw4f78/jjjxMVFcmwYSPo2dOnOoatKEbZjjUX5V4dMVtbG9LTs8wGw4qWRYL7hSHL5ylh3cqEjIwMFi6MJisrk9zcXEJDw2nf3tOkPFNhoNZKxiqKuRzxhQs/4ejoaAy4mqbh7z/aeFKmR49ehfpT00FX0zT8/F4w9m/f3pOgoOkcPPgdSUnrsbGxwdd3CEOG+FloZnUJU/lh0ybwUMA333yNu7sbTz/drtSyRRUpi5Sfn280NC9PyfmaoEzYsmUznTt3wd9/NGlpPxMbO5/ExM0m5ZlCtK3u4Vo9dTLomuPYsSN07+5tfJ+Zmcn48SPZtOkTHBwcOH78KL6+Q8z2v3LlMk891Zb4+BXGtry8PFatWs66de/j4OBAcPBkevb0wcWlkdn7KCrKg0FL48qVy8THLyYrK5O4uNfJzMyuYFrCvG+DXm+PnZ3BEDw/Px+9Xo+NTWllkax7dVsUf//R2NvbAQY1iL293qw8UwXd0lFBtwhpaRfp0qWb8b2joyOBgSGEhQVhZ2dH585d6dHDfI5NylR+++06oaEvo9frCQuLICcnl+bNW+Ls7AyAp2dHTpxIpl+/5yw+H4WO7ds/o1s3b/z9RxXupJtXS5Q3EGuahl5vT716Om7fTi88JmxTLD9s0OEa0hInT57EycmJRo2st1ZZSam3mzd/Y9GiaMLCZpmVZypKRwXdIpiylRs40JeBA30fajf1zxkRMZexYwPo1+85TpxIZuHCVwkNjShm5FGX3JSsgWnTZjzQUpJsrezew/c8GR485lxSAc4dOz5n//5vAQ0Pj3Z4ej7DyJFjrEpWZS71dv78OWJiopg2bQZeXp3IzMwwKc9UlI71/LVrGKb+ObOzs40njjp2fIYbN65Tv359srLu5xDL4qZkbuPiwIF9rF79Jk2aGAoxTp78srE8teJRMC1bM5Uf/vXXq+zcuYPIyMgyOZrdOy6ck5NHePgcZs6cw7VrN0hNPUVa2sXKn4oFuHDhJ6Kj5xIXt8R45N6cPFNROiroViKJiWtp0KABY8ZM4OzZMzRt6sqTT7bh8uVL3L17BweH+iQn/8CoUeNKvI+5jQspTxMSEkafPv2raEZ1lYdXw5pWwCeffMzGjRuYMmUqd+8aHqSlpyWK5251OnB1dcXV1dVCYy8/Fy/+TGDgBHbu3Iter39IlXDmzGlycnJ4881lgCHt9sYby03KMxWlo4JuJTJ27EQWLYrm0KHvsbGxYf78WGxtbZk+PZyIiFAKCgrw9R1C48ZNSryPqY0LAClPc/asZOvWj/DwaEdwcKhV/TStzdy6dYvk5B9Ys+Y9WrZsVdhacn74vjLhXv7W+sjMzCAhYQV2dvbGtgdVCVOnhpjcIGvfvgNr1yZV4WhrB3VSp2tNlLZxERkZRljYLLy8OvHxx5vw8elDs2bNWbp0MW5u7rz44shqGrniYR7MC1vfRllRNE0jNjaKsWMDmDdvFps3byMvL5fAwIls3rwNgK1bPyIvL5fRo8dX82hrFkqna8WUdeMCwNd3KE5Ohs0KH59n+fbbfSXeW/kIVzXWW+rc1MPd1fUv9O8/oJg1qlIlWB4VdK0QUxsXmqYxYcJLrFmTSJMmTTl27ChClOwHUZK/qaJuYerhPnLkMHbt2sGuXTu4desmERHTiY9foVQJFkYFXSvk3XcTTG5cvPJKNPPnz0avf4zWrZ8s9WSb8jdVlMSWLduNr0eMGMzy5Qno9XqlSrAwKuhaIeZWo127dqdr1+5lvo/yN1VUBKVKsCzq21eLeRR/07y8PJYsieOXX34hNzeHCRMm07hxU+bODTfmhf38RtSaQoK1jfz8fFatWoGUKeTk5DJpUiA9e/qYNanZtu0LY1+lSrAsKujWYh7F33TPnt04OzckOnoRd+7cJiBgDAEBUxk5cgyjRo214KgVlcGePbvJy8vjnXcSuXHjOvv3fw2YriGo/BKqFhV0azGP4m/at+9z9O17/xCGjY0tUqaSlnaRgwcP0KJFS2bMmFVsp1thPRw+fAg3N3dmz56BpmmEh89RJjVWggq6tZh69eoxe3ZUhfrWr18fMBxbXrBgLlOnBpObm8OgQcNo29aDjRs3kJi4junTZ1bmkBUVwJQcrGHDP6HX64mPX0ly8nEWL44jJuY1JQezAlTQVZjl2rVfiYqajZ/fCAYMGEh6erpRJ9y7d19Wrlxa5nsFBIw2buo1a9acIUOGKwPsSsKUHCwmZh7e3r3Q6XR4eXXi0qU0szUEFVWL9R6XUVQr93SbwcGhDBo0FICIiOmkpJwCKNfP0j/+MBSKTEhYS0LCWqKiYli2bAmxsa/z9tsbSEk5hZSnLTOROoqn5zMcOvQ9QKEPSNNiJjWapnHkyCE6dvSq5pHWPdRKV2GS999/j/T0dJKS1pOUtB6A0NBw3nprOba2tri4uDBnzvwy3evcubNkZ2cTHj6N/Px8Jk0KVLlFCzN4sB/Lli0hMHAimqYRGWlIMyk5WPWjvBcUFuf8+XP8+ONJBg8exqVLaURGhuHo6ERi4iYAdu3awdWrVwgMDKnmkVo3GRkZxMREkZ39O7a2drz66kJcXBqpWmVWiPJeUFQrLVu2okWLFuh0Olq1egJHR0fS0+8ar5c1t7h79xfs3m3Qk+bk5HDu3BliYl6rMx7Du3d/gZubGyEhM9i583M+/PADQkPDlQyshlHiSlehqAyEEMFABylliBCiGbAPyAOGAj8BXwJxUsrD5bjnauAE0Ar4QUr5aeWP3LoQQvQD/i6lDBZCzAIaA4uBw1JKj8LPzADspZRl3+VUVClqpauoCjYASUKIgxg8DycBBcBmwAbYW86A2xloJ6WcJoT4CvASQswEjgBzpZSma6vXIIQQk4HwB5qnAQOEECnAnwEfwBm4W+Qz6UCbKhmkokKooKuwOFLKHGC0iUtlN5IoThQQV/j6n8B24AKwBggCEip4X6tBSrkBw8PKiBDiMyBeSvmuEMIT+BToBRTNzTgBt6tsoIpyo4KuokYhhGgItJVS7i9sSpRS3i68tgN4sZT+3YB/SCn7CCHcgSQMq+9TwDQpZYEQIgbwxZACmSmlPGKZ2ZSb/wF3Cl9fB5yllHeFEDlCCDcMqZq/cf+BpLBClE5XUdPoDXwNIITQAf8VQrQovNYf+I+5jkKIOcB64LHCpuXAAimlDwb38aFCiL8CzwLdgJeA1ZaYRAWJBsYLIb4DPgemFrYHYUjVHMGQ3y5zqkZR9aiVrqKmITCs6JBSakKIKcBnQojfgRRgXQl9zwPDgQ8K33cCDhS+/goYAEgMOWYNSBNC2AohGkspb1T+VMqHlPIq8IKJ9n9T8VSNoopRQVdRo3hwV15KuRfYW8a+nwohWhdp0hUGVzBsQDXAsDF1s8hn7rVXe9BV1A7+Dz7CXaF5eECFAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1b68660cf28>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "ax = plt.axes(projection='3d')\n",
    "ax.scatter3D(df.x1, df.y1, df.z1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 106,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.preprocessing import Normalizer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 107,
   "metadata": {},
   "outputs": [],
   "source": [
    "normalizer = Normalizer()\n",
    "data_tf = normalizer.fit_transform(df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 108,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.DataFrame(data_tf, columns=['x1','y1','z1'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 109,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<mpl_toolkits.mplot3d.art3d.Path3DCollection at 0x1b6867480f0>"
      ]
     },
     "execution_count": 109,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1b6866f7550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = plt.axes(projection='3d')\n",
    "ax.scatter3D(df.x1, df.y1, df.z1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 6. Binarization\n",
    "* Thresholding numerical values to binary values ( 0 or 1 )\n",
    "* A few learning algorithms assume data to be in Bernoulli distribution - Bernoulli's Naive Bayes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 110,
   "metadata": {},
   "outputs": [],
   "source": [
    "X = np.array([[ 1., -1.,  2.],\n",
    "              [ 2.,  0.,  0.],\n",
    "              [ 0.,  1., -1.]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 111,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.preprocessing import Binarizer\n",
    "binarizer = Binarizer()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 112,
   "metadata": {},
   "outputs": [],
   "source": [
    "data_tf = binarizer.fit_transform(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 113,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1., 0., 1.],\n",
       "       [1., 0., 0.],\n",
       "       [0., 1., 0.]])"
      ]
     },
     "execution_count": 113,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data_tf"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 7. Encoding Categorical Values \n",
    "#### Encoding Ordinal Values\n",
    "* Ordinal Values - Low, Medium & High. Relationship between values\n",
    "* LabelEncoding with right mapping"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 114,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.DataFrame({\n",
    "    'Age':[33,44,22,44,55,22],\n",
    "    'Income':['Low','Low','High','Medium','Medium','High']})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 115,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Age</th>\n",
       "      <th>Income</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>33</td>\n",
       "      <td>Low</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>44</td>\n",
       "      <td>Low</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>22</td>\n",
       "      <td>High</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>44</td>\n",
       "      <td>Medium</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>55</td>\n",
       "      <td>Medium</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>22</td>\n",
       "      <td>High</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Age  Income\n",
       "0   33     Low\n",
       "1   44     Low\n",
       "2   22    High\n",
       "3   44  Medium\n",
       "4   55  Medium\n",
       "5   22    High"
      ]
     },
     "execution_count": 115,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 116,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0    1\n",
       "1    1\n",
       "2    3\n",
       "3    2\n",
       "4    2\n",
       "5    3\n",
       "Name: Income, dtype: int64"
      ]
     },
     "execution_count": 116,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.Income.map({'Low':1,'Medium':2,'High':3})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### PS: We can use transformer class for this as well, we will see that later"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Encoding Nominal Values\n",
    "* Nominal Values - Male, Female. No relationship between data\n",
    "* One Hot Encoding for converting data into one-hot vector"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 117,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.DataFrame({\n",
    "    'Age':[33,44,22,44,55,22],\n",
    "    'Gender':['Male','Female','Male','Female','Male','Male']})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 118,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array(['Male', 'Female'], dtype=object)"
      ]
     },
     "execution_count": 118,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.Gender.unique()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 119,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.preprocessing import LabelEncoder,OneHotEncoder"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 120,
   "metadata": {},
   "outputs": [],
   "source": [
    "le = LabelEncoder()\n",
    "df['gender_tf'] = le.fit_transform(df.Gender)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 121,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Age</th>\n",
       "      <th>Gender</th>\n",
       "      <th>gender_tf</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>33</td>\n",
       "      <td>Male</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>44</td>\n",
       "      <td>Female</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>22</td>\n",
       "      <td>Male</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>44</td>\n",
       "      <td>Female</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>55</td>\n",
       "      <td>Male</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>22</td>\n",
       "      <td>Male</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Age  Gender  gender_tf\n",
       "0   33    Male          1\n",
       "1   44  Female          0\n",
       "2   22    Male          1\n",
       "3   44  Female          0\n",
       "4   55    Male          1\n",
       "5   22    Male          1"
      ]
     },
     "execution_count": 121,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 122,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0., 1.],\n",
       "       [1., 0.],\n",
       "       [0., 1.],\n",
       "       [1., 0.],\n",
       "       [0., 1.],\n",
       "       [0., 1.]])"
      ]
     },
     "execution_count": 122,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "OneHotEncoder().fit_transform(df[['gender_tf']]).toarray()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 8. Imputation\n",
    "* Missing values cannot be processed by learning algorithms\n",
    "* Imputers can be used to infer value of missing data from existing data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 123,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.DataFrame({\n",
    "    'A':[1,2,3,4,np.nan,7],\n",
    "    'B':[3,4,1,np.nan,4,5]\n",
    "})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 124,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.preprocessing import Imputer\n",
    "imputer = Imputer(strategy='mean', axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 125,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1., 3.],\n",
       "       [2., 4.],\n",
       "       [3., 1.],\n",
       "       [4., 4.],\n",
       "       [4., 4.],\n",
       "       [7., 5.]])"
      ]
     },
     "execution_count": 125,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "imputer.fit_transform(df)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 9. Polynomial Features\n",
    "* Deriving non-linear feature by coverting data into higher degree\n",
    "* Used with linear regression to learn model of higher degree"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 126,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>A</th>\n",
       "      <th>B</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   A  B\n",
       "0  1  2\n",
       "1  2  3\n",
       "2  3  4\n",
       "3  4  5\n",
       "4  5  6"
      ]
     },
     "execution_count": 126,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.DataFrame({'A':[1,2,3,4,5], 'B':[2,3,4,5,6]})\n",
    "df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 127,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.preprocessing import PolynomialFeatures\n",
    "pol = PolynomialFeatures(degree=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 128,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 1.,  1.,  2.,  1.,  2.,  4.],\n",
       "       [ 1.,  2.,  3.,  4.,  6.,  9.],\n",
       "       [ 1.,  3.,  4.,  9., 12., 16.],\n",
       "       [ 1.,  4.,  5., 16., 20., 25.],\n",
       "       [ 1.,  5.,  6., 25., 30., 36.]])"
      ]
     },
     "execution_count": 128,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pol.fit_transform(df)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 10. Custom Transformer \n",
    "* Often, you will want to convert an existing Python function into a transformer to assist in data cleaning or processing.\n",
    "* FunctionTransformer is used to create one Transformer \n",
    "* validate = False, is required for string columns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 129,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.preprocessing import FunctionTransformer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 130,
   "metadata": {},
   "outputs": [],
   "source": [
    "def mapping(x):\n",
    "    x['Age'] = x['Age']+2\n",
    "    x['Counter'] = x['Counter'] * 2\n",
    "    return x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 131,
   "metadata": {},
   "outputs": [],
   "source": [
    "customtransformer = FunctionTransformer(mapping, validate=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 132,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Age</th>\n",
       "      <th>Counter</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>33</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>44</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>22</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>44</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>55</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>22</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Age  Counter\n",
       "0   33        3\n",
       "1   44        4\n",
       "2   22        2\n",
       "3   44        4\n",
       "4   55        5\n",
       "5   22        2"
      ]
     },
     "execution_count": 132,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.DataFrame({\n",
    "    'Age':[33,44,22,44,55,22],\n",
    "    'Counter':[3,4,2,4,5,2],\n",
    "     })\n",
    "df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 133,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Age</th>\n",
       "      <th>Counter</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>35</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>46</td>\n",
       "      <td>8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>24</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>46</td>\n",
       "      <td>8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>57</td>\n",
       "      <td>10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>24</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Age  Counter\n",
       "0   35        6\n",
       "1   46        8\n",
       "2   24        4\n",
       "3   46        8\n",
       "4   57       10\n",
       "5   24        4"
      ]
     },
     "execution_count": 133,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "customtransformer.transform(df)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 11. Text Processing\n",
    "* Perhaps one of the most common information\n",
    "* Learning algorithms don't understand text but only numbers\n",
    "* Below menthods convert text to numbers\n",
    "\n",
    "## 12. CountVectorizer\n",
    "* Each column represents one word, count refers to frequency of the word\n",
    "* Sequence of words are not maintained\n",
    "\n",
    "#### Hyperparameters\n",
    "* n_grams - Number of words considered for each column\n",
    "* stop_words - words not considered\n",
    "* vocabulary - only words considered\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 134,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Text</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>This is the first document awesome food.</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>This is the second second document.</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>And the third one the is mission impossible.</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>Is this the first document?</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                           Text\n",
       "0      This is the first document awesome food.\n",
       "1           This is the second second document.\n",
       "2  And the third one the is mission impossible.\n",
       "3                   Is this the first document?"
      ]
     },
     "execution_count": 134,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "corpus = [\n",
    "     'This is the first document awesome food.',\n",
    "     'This is the second second document.',\n",
    "     'And the third one the is mission impossible.',\n",
    "     'Is this the first document?',\n",
    "]\n",
    "df = pd.DataFrame({'Text':corpus})\n",
    "df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 135,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.feature_extraction.text import CountVectorizer\n",
    "cv = CountVectorizer()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 136,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1],\n",
       "       [0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1],\n",
       "       [1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0],\n",
       "       [0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1]], dtype=int64)"
      ]
     },
     "execution_count": 136,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cv.fit_transform(df.Text).toarray()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 137,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'and': 0,\n",
       " 'awesome': 1,\n",
       " 'document': 2,\n",
       " 'first': 3,\n",
       " 'food': 4,\n",
       " 'impossible': 5,\n",
       " 'is': 6,\n",
       " 'mission': 7,\n",
       " 'one': 8,\n",
       " 'second': 9,\n",
       " 'the': 10,\n",
       " 'third': 11,\n",
       " 'this': 12}"
      ]
     },
     "execution_count": 137,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cv.vocabulary_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 138,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1],\n",
       "       [0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1],\n",
       "       [1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0],\n",
       "       [0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1]], dtype=int64)"
      ]
     },
     "execution_count": 138,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cv = CountVectorizer(stop_words=['the','is'])\n",
    "cv.fit_transform(df.Text).toarray()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 139,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'and': 0,\n",
       " 'awesome': 1,\n",
       " 'document': 2,\n",
       " 'first': 3,\n",
       " 'food': 4,\n",
       " 'impossible': 5,\n",
       " 'mission': 6,\n",
       " 'one': 7,\n",
       " 'second': 8,\n",
       " 'third': 9,\n",
       " 'this': 10}"
      ]
     },
     "execution_count": 139,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cv.vocabulary_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 140,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0, 1, 0],\n",
       "       [0, 0, 2],\n",
       "       [1, 0, 0],\n",
       "       [0, 0, 0]], dtype=int64)"
      ]
     },
     "execution_count": 140,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cv = CountVectorizer(vocabulary=['mission','food','second'])\n",
    "cv.fit_transform(df.Text).toarray()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 142,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1,\n",
       "        1, 0, 0, 0, 0, 0, 1, 1, 0],\n",
       "       [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1,\n",
       "        0, 0, 1, 0, 0, 0, 1, 1, 0],\n",
       "       [1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2,\n",
       "        0, 1, 0, 1, 1, 1, 0, 0, 0],\n",
       "       [0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1,\n",
       "        1, 0, 0, 0, 0, 0, 1, 0, 1]], dtype=int64)"
      ]
     },
     "execution_count": 142,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cv = CountVectorizer(ngram_range=[1,2])\n",
    "cv.fit_transform(df.Text).toarray()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 143,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'and': 0,\n",
       " 'and the': 1,\n",
       " 'awesome': 2,\n",
       " 'awesome food': 3,\n",
       " 'document': 4,\n",
       " 'document awesome': 5,\n",
       " 'first': 6,\n",
       " 'first document': 7,\n",
       " 'food': 8,\n",
       " 'impossible': 9,\n",
       " 'is': 10,\n",
       " 'is mission': 11,\n",
       " 'is the': 12,\n",
       " 'is this': 13,\n",
       " 'mission': 14,\n",
       " 'mission impossible': 15,\n",
       " 'one': 16,\n",
       " 'one the': 17,\n",
       " 'second': 18,\n",
       " 'second document': 19,\n",
       " 'second second': 20,\n",
       " 'the': 21,\n",
       " 'the first': 22,\n",
       " 'the is': 23,\n",
       " 'the second': 24,\n",
       " 'the third': 25,\n",
       " 'third': 26,\n",
       " 'third one': 27,\n",
       " 'this': 28,\n",
       " 'this is': 29,\n",
       " 'this the': 30}"
      ]
     },
     "execution_count": 143,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cv.vocabulary_"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 13. TfIdfVectorizer\n",
    "* Words occuring more frequently in a doc versus entire corpus is considered more important\n",
    "* The importance is in scale of 0 & 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.feature_extraction.text import TfidfVectorizer\n",
    "vectorizer = TfidfVectorizer(stop_words='english')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.64450299, 0.41137791, 0.64450299, 0.        , 0.        ,\n",
       "        0.        ],\n",
       "       [0.        , 0.30403549, 0.        , 0.        , 0.        ,\n",
       "        0.9526607 ],\n",
       "       [0.        , 0.        , 0.        , 0.70710678, 0.70710678,\n",
       "        0.        ],\n",
       "       [0.        , 1.        , 0.        , 0.        , 0.        ,\n",
       "        0.        ]])"
      ]
     },
     "execution_count": 73,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "vectorizer.fit_transform(df.Text).toarray()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['awesome', 'document', 'food', 'impossible', 'mission', 'second']"
      ]
     },
     "execution_count": 74,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "vectorizer.get_feature_names()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 14. HashingVectorizer\n",
    "* All above techniques converts data into table where each word is converted to column\n",
    "* Learning on data with lakhs of columns is difficult to process\n",
    "* HashingVectorizer is an useful technique for out-of-core learning\n",
    "* Multiple words are hashed to limited column\n",
    "* Limitation - Hashed value to word mapping is not possible"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.feature_extraction.text import HashingVectorizer\n",
    "hv = HashingVectorizer(n_features=5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0.        , -0.37796447,  0.75592895, -0.37796447,  0.37796447],\n",
       "       [ 0.81649658,  0.        ,  0.40824829, -0.40824829,  0.        ],\n",
       "       [-0.31622777,  0.        ,  0.31622777, -0.63245553, -0.63245553],\n",
       "       [ 0.        , -0.57735027,  0.57735027, -0.57735027,  0.        ]])"
      ]
     },
     "execution_count": 76,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "hv.fit_transform(df.Text).toarray()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 15. Image Processing using skimage\n",
    "* skimage doesn't come with anaconda. install with 'pip install skimage'\n",
    "* Images should be converted from 0-255 scale to 0-1 scale.\n",
    "* skimage takes image path & returns numpy array\n",
    "* images consist of 3 dimension\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 144,
   "metadata": {},
   "outputs": [],
   "source": [
    "from skimage.io import imread,imshow"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 145,
   "metadata": {},
   "outputs": [],
   "source": [
    "image = imread('frustrated+user.jpg')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 146,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(282, 425, 3)"
      ]
     },
     "execution_count": 146,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "image.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[143, 164, 145],\n",
       "       [144, 167, 147],\n",
       "       [144, 167, 147],\n",
       "       ...,\n",
       "       [138, 165, 146],\n",
       "       [141, 164, 146],\n",
       "       [140, 163, 145]], dtype=uint8)"
      ]
     },
     "execution_count": 80,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "image[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\awant\\Anaconda3\\lib\\site-packages\\skimage\\io\\_plugins\\matplotlib_plugin.py:51: FutureWarning: Conversion of the second argument of issubdtype from `float` to `np.floating` is deprecated. In future, it will be treated as `np.float64 == np.dtype(float).type`.\n",
      "  out_of_range_float = (np.issubdtype(image.dtype, np.float) and\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x1b6860a0ac8>"
      ]
     },
     "execution_count": 81,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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+IdDUhsRaRQUaLIESAuHMUWULwuhxPS1QVhhq6ZwtcSorKOe93BBa4KFKm4yql4CWX0Q2vRZ2MSltPbyVDt28u6Bp//niRNGW3yYu7fa47ZVSEgz65HnOyAsQQw+pFWnJ0S7nc5CCLE5QqcLzXhGHEUJqgl6fzz/+hP3jI/aPjgnXc/xgQLIOiZOQOFziBUPiMCKJNtx786skcchkfMRmeclo3xAA3x9QKEV/uMf3v/t9kiTBC+bEm5CvvP2Yi6sZH/3gA2SeGxOy7+H3B/ha4vlD3vrGIx6cHAAwHOxR7KfkSUKc55w+vE8Uhhy/+RbBcID2fJIwoj8eU2QJfn+EViA9iaKo9sR1TOcXgevwSzvtpnfrNUZjLmti4iJ+tr5btZgQurTZyFZem9/iE2ufNN+b0FSlWS89l7n/ccZrdw1fAkivHljXNtEQO8EgfmdSVEenb6Pr3pW3oaqjJCBWpdQWh3X1Yycxaet1d7dHUdug6+no6ktDchPG66MhvWyVXUo6Wm9JgW5tWlgPL6eP1hvAtWcIBcI5FuXYZDwhKgmo8kCRAqwruXC2gaoRpGsnAhAoM7fKeLIgS4OjUA2bjs3940CDS6Wo23ILqbiLW+1SR7gMTRdHfdt2NttS22NajUIX5dooFCcPHjK7OEcEPuFmVZ2HQEryNOfqYsZiPidarhkMBiSblNn5OfPzS4L+kCyN2ZtOiaMNs4sX6EywWoScvXiOH/TpD81RuSyJ8Ps9BpN9nn/6lPPzS8I05+MP3ifPFSpPmRwc8eGTT7l8dUGmCt79+jvkiSKMMqaHB3zt597j7W98jenhASf3T3n0+AGbxKiFTh8ccnTvPgf37jOcTHl5NiNJEpbn5yyXG+IwpjfeQ/k+RVFUrsxag5CycjbpmptduOI6tdpt89/0jvM2tcOPLv+s5HFdmUbScb3N6nQXzG9DNK7LB/XurF3BwcEfO9pz3V5x4WdAoumGypoihIMQW3laXKIS4DkHpURHHlNkx8LreF7VV3LZVb2tdlwnll9fd8lxlDpVu8AsUmmDyxkXgGxNsjFBtSQ4DXiigaQbRn4t0UJVBy0rgUE5xuwyn7BtbnFERhVcSzO6dHes6i/B05RuyI5U055TpFGlas8mlA01TpRNnfAX50i3fuvuw7G2TvRuhqFdZluCqVrZsR668rSlJbesOs3k9z2P9XqJ7/eQviDPM8LNing2BzQ9v8/zD76PkJpkkwDw2Y9+yHg8xvd9+oMxzz9/xno+5+DkhNVswXA8oIhCVDphtpyTZjmD/hSv53H+8gVH9x4ipSRPYi5ePmWzWuHJPtPDA9arCBH0efn5M4Z7U55++jkn9x7w4uXHROsN+8f3iKKCs9czpMjRUpNlGe9/9zuMRiOmBwdsNmt+9P6T8vAo/P7vfhvf98mJ+drPf5PDN6f096bEyyUvP/oRp2+8wcM3HhJpH41gs1oy3psaouvJBsLeJV22x7pL03Gd2uiLq+GabvfVGta+w8S1bYnuoeyCWlLZ9lqrPVabUjHQICC3BSEEwq8lnCptxzjugi+d0Nx0It0iMN3K44p0FmRJna7jHnepMeyhT3CIXOs950fZNNM2N+8XU5E0DzpqrejiZraQmSiRdhtJd4yl1rrqV2dftLHbyPIQpMbZRO389kS9UI2yuvpcuVIL41ppf5dV7u6jaLq31wXWbsnbLzdP+rf77yLxrXZLcwhNu4dO3TrbkQI6ogp0wU2qhjaicl1m3c3bLKPuf6EUvu+TxGt8IVnNrljMZmzmM1azFZ7nkxY5yWpDFBnEfXj6EKFyXn/+OcleQlHknJ4ekmQJaZEx3jtAeB6bzQZdKPI8ZbS/z9XrVyitSZOMZD6jNxww6I3YbCKiKKIoCvp+gUpifN8njjZINOvlnIPDY5Ik4+ryNcPRlMuLFdP9Y148e87sdM1oNGC9umKxisjiCCkDisIg3DCM6Y9HKNXn27/3+/zKn/0zPDw8Ynx4SJFmqDxjfnFOKvv09/YI/D5xkuBLH88TeF77AGRzXfw4Uqb77m32+jbzIUq+1Z1/5SAcK+HYunYxOnZdaqQ0Ls/btp7ttux6VpdZ1qc0SogGs+5GAbiNlsiFL1115rrZVqPrflr3xEqTs7sz6hZrpb2Z7aenzVzv0vy7iiRbj7TltNQkXXCj+N0Qnd3ymhy3Uk0VktZNN+G2qqZRr1VluflVSWSE2n7flawswu045e+qwIBKnWfE7tr92arAKo8xsa1WQkukpnZZbsz3jrnXu91PXe6rPR7mu9xNOFqRD+rvt1d9df257dg1V+46rRGEokAjVB36w5MB2WpNsloTXZwTXl6RJol5pyhIwohobQiNFD7hOubw9B6oBJllhHFCuFghJYwmY5TI2dvbJ+gPkNoY5JXW5HnOcmlcoJMwQqFIoxjhGceDd7/6Jo/fvM9Xv/FVPK14/O5XUYDSOXmeI5QgCAJAEkURg8GQq8sly0VMVsBqvkThgfTr/grJ4vKCPM/xvDHf+gf/iGeffAbC4/DhG1xcLlisQnq9Hp6QRg2vNZ4v0YVG23A0HcxmHVVje25uM6/uPN0m/+58LtKW5X6vP6s6tHUKsOnSSEFOZIAu6fu2Eocpq2nn8Vrt3lLZtuq4bvy+dEJjkR+UCLw94W74FEc901lUpedni4tvg9Ya1TKOI6y3RflTO4NnOYXyMKOoC9pJ/K7joNr5Ggi5wZV0IPYWYbH2kM7y5fY5gKoMLVHSnkXytpCfabNt1PZS2dUfV9IydpbmuZ26DddwQLqWGG8DbbG+3c4uI74hZN3OF5bIVOdxGv3f3e6bNt0uw/6ucpppEg9BVqQkcUg4n7O5POPls48INysO7j/ka9/8ZQ4Oj1jMZ0wPjxnuTRmOjU3l4sULxntDHr35mDjMuLg84/L8jPl8znAwQWhJ4PWIog15blyVDZIPyHNNuF6jgz7L5ZJwHQLWE05wdn7B5XzJ65cvObr/iI+//z5KSaIwoT/aJ8sK5lczkjgz3mG+WW+R9YjzApIkIUkS0sTshdV8RZprlos1F+fnxFHOP/r7/4iXz1+g0Nx/+2t8+IMnCFV7StbzL8HvjgpwHXStne53uyWGL8JoCpeRc/a5K8lWhMIJ/2LtOVbV1tQGNOtTrd87oXq3PLsjFFoXtNWP7fZbSeemOr58QgOVbUGopqtwQ4ftcLiiI09D3eDmt3WUHHo9ceAV2061rnSlS0IknPLbBKxWt4qtNE17OarybzvOqHH5FWxHA2jnE42+Veqyounx5iL7thRkCfvOZVFKHY023BAUs91GVzIsBfLdtq1bqKKq/DfETdvqVZm/0k+L5oauw3N0IfwddTlSmVv3LmTyRTnmXaBUYSQaYaQDvxewXq1Qhc/lqzPWV1dcnJ0jAx+B5NlnnxAEHllubDTRZsVmveYH3/sjFouINBOkiSZKcs5fvyAM1xRpTpYmBL4kTkKGkz0Goz16vR55mrK+nKGUIEpSwjAkyzKEkMyuYoqsx3Id8+LzzxjuHbKaz3j17CWvnn1OUhQsFxFJWrBYrAiXS2PA7/W49+ghSkGyTjk/WzKbmQDwSZLR6++xWqzZrCPSNCVcrvnd3/n7fPLkCXkRszc94ofv/zHCk6jcEKgszRHSeLHaOWjPSVd6+/nuNCPV3vy+dU9uMprXqbd2tbeB38rT++08XVJ7Zd92JRPq/rdxZEWkyz/d3rQd5d1mXX/pNhqgNiYDSuv6lIZDFIQQlfeZC9uqkB11WD0pVNEClDB1u5KQi8TtoaWGfcjhmkxgOV2l2yCQLmFqtsGdWBeRGwJjbDTebi7MenAVqmmPKSsVNgSNqCU1IUTpoExlY9AdY9xsqOxEpi647ynAt33XmHAwQiAKjfKNK3ghtjfBVpTnW4DAo3X8EcN/1OTd5WzdcWiUI7WJ+Oy2oUHwVHX6enuManVmF1Jo219uQlxtg7Sb3kaKUmkKrU34j0Lx+BtfI55H+L0e73/7D5genRL0zAFNKQMWixWeNzK//R7PPvqMLMtI0xSQDCZ7zC5ecXz/AUFvRLSeI4TgcH9I2N8jTQrC9YzB6JA4TRFKUBQ5y6tLeoMR8XrN3huPef3yFUmSEW9CvKCPH/QZ7h3gDzLEJiGONkwOp4SblDRc8+43vgKFIo0TdBIxGA4JNwlaZxTCjHsYZ6SzeakKlKA0w/Ee6/mCf/B3/gHvfO1t3nj3XeaXL/nar/wqUvr0fM8QMF8at/gOW8xNHp278tVpTWZwV+gi9/UuPNVE1l5VtjXo73JkcsPJGLxhlT3lehb27ExX29li+Nwx6PrdXoe77D8/0zYaC0LURvWu5nZNetd3aPK0lpOvqLiTXwgnppesEaU7IRWPbOsvkVeOriIRtNu/q391Z2r9qwFDdCwHtmuBmRAsrQ2hqUK8uDHLbH+r0/fWs8y+58kqjI6VFDTFjQSmC0ph27TdJdSe2TBuiH+rsmsY2m8p0UCX/eV2eetEG4DSUuqa4AvpbKhGiA+qvLeBa9dmh2SzS+JpIySr/pPSR+UpusiIFyvWqxm+79Ef7nH58jVJnpHGGZvZFWm4IVrPARMepjfaY3JwiFKSLMvQWpDlCZv1kijeMJpMkb7Pcp1y9OA+WZbgeT3icMnBdMrEXgOgNV6/hwgCzp6/JI5yonWE8AKKLCNcb8jSmPXVFXmWVHstiTZI6TO/nLGeXyKE4LNPX/Dq2UsToyzLCXqGkPu9gCQKUcp4qGkhzLUDuSDP4YPvfcjv/f1/yIvnF3zw3e8yGI5QSuEHHnmeG2Qtuzn9dtrNUkx7rtz11c5n02t1VANPdC5a4whU57vOWUGiVdN228xfSyK2BTk10Wi09AbbTXsNXsfMX/fsZ0KigVof3yVi1pu/zrurU9Ie8KTk2GUz8Kbh7HVVXpVeeoRcF4HUbYPHbmTSLXXZw4bavN3hXXabybTPBSZUtymtFs+llPUhzgYYpG8ORxpPMKktgXG8Ta6rU+/mhhp5LfFGGynL6V913UCV+XrkXXFKwkQSFGzbWmy+yh1ZtpSWjqODJTC23CrMB171ys5x+AIEsdH21vfr8rfz2jkVQlDk5u6VLEtMlGIvQAhBvz8kzQqG4xFJGPPp9z5genJKlmRokVY8kpQSpVOiVcTR8Smr9QyhCu4/egd0hhcEhOGaONyUc+UzHE3YhBHhcoHwAkajCWEYkmeaNJsTLhf0BiOiJEYiGI9HLOcL1uGGPI64/+bbxGFIHCZE8YbxeEgcRVycXzGZTFmFc/B80ihHxCZq8+ZiBsDrVzOQJqyRDGDi9wmTlCzLGA6mJHnBZpOx+vglTz/624wnUw5OjvF6AeO9Kf1+H5QqPaec/XFLKWfXs1paaRMrgFqSMelmLXYV3yXZGFAVPtqGMoqKyNC6rT7DWevmfVni1cAcuzYRl3dIOu3vbWhoClp2pJvsYF86oanUG6X853akel6mq45BaHdQlXduCKgiLDckHGoU1JRuyia0JgJn84NB7u2oAFuDbI3YlbhUG/IAJ44ZuJ4euyZKiCYBFJQqP6f+Rn5dt7sRB62ULrQyh9uMS7dEyOs3WtWtjua5wSvaQTgbUaRvIJ6NO2PcebbRALQhzvb8TXW6asvV+poqtDYRwp2GSif0+a1hh+ddw6Z4DefobtSbVG/NtktzcRnG5rS4vMALPFQcc7w/4odZgtaK0XSPs2dPOXrwBuvFBdPDewDkSrHXH6CGkk24IEtigiDgV//Ur6CKFOn5vP7sKa/TBOn3iaKIzXqJHwzZOzYh/y/PLumPx2ht1G+jyT5KFfjSIwh6XF1c4nkeeZIyOTxltVgY24kECg9dSo1eMCTLslJSyRkMBuRFilRFZacNAo8oydBFgV/4/MIv/wJ/+J0/xtvfJw5jBuMpV69f4fs+vV7A3/3t3+H+4weMD6YMBgFf/+Yv8u7Xv4Hv+6BB+J45COw4hrSRpJt209xaQlI/auISZ1a5bo11EzMTYqZ5Z0y9vrXeJphaF456vnkWR1vV/g61l9uvXeNwXXr7/TZ86YTG3nng0u9darIuMXfru3BUcDbCsls2dVgPS+CEqEPKyBI5Km3Do1DnxZ7VaarJtmJ1lsRTKHvK14T3L0sANAKbniuSAAAgAElEQVS/RJodgRJbkoMr7XlCUmiFFK1IqwBSoApzB4lLy4QQUEiDZIVCex5QGFS9tSla790Alkx6onZxLkoW0mtLprZf9gKoL3ADJ+UlUNfm1RJEUR82Ld+r+uLcb2PSmodHd966SXssvB3pu6Facze85xKgro2b5ym6UKRFbtyFlWa9WbG+usLXHkmS8PbXv06RKVbzc4TQFJlxBlCZ4tXsBX5/DAL6w4GJIadTPE+wXs4YjIf4vb45GzMYMbu6wEtTtBZE6w290RihJVmWo5RiHs6ZTPfoDwYoZaSq3mhCuJyj8pQsilC+kVikhN5gQK/vkaUKz/NICkWWxgSe4PT+CbOLS/amJgTN0dERs+UClZkwOueXlxRK0QsGpOkSrz+gPxixWS/p93tcXcxIU0W/f87h8Sk//N7/xeGDY/61f/sv8fjx43IpbOOONpHpgm5iUEtKrdw0CYveIj5dWpvm9+16a0eAMmxX1daC8kKvRv+A8s4YQ1ztyrcMe+H2twxA+kXX9W0kdfhZsNFIhzjcsnO7CFE1ITbdfYd6GhoeGB3RXa2kY6UtIUTtDdcqVwixFUOszuNyJE3XRE1OWw/bsA25m0A6h/rEjjaXiN6Gi1fOzGqtKWw4fy0bar+qHE3DxmNafz3Y9lp/e9tVWaa121ipzUTRIACu7ahhJ2pHIGjsVFWFj7HlaMy9ONuHMzXVfTmNg53ORi/du81fW6fulCd2S59umlV32b8qdlTHuNg87nd3TSulqnNFnucRRmvy1ZpwueTpD98n3SREYcjl1WsuXr3k2efPObh3QtAbkueKMDTnaGYXrwiGAzbLK8O0yD5pmvL5x5/wyY8+REpJnG7o9/sIzxwG3T84Yrp/CMBkeoBEsF4v6I8nCE8y3JuSZSlJFLG3f2TuiZldIbRxfd4/PYUCtMrJsgJdZAz6Y+49vIemYDoaMh2PmE6n5GkMeUEcGRVaUWT0vPJcjVJ89tFTc1XBakWa5ORJTpbk6AKOT07x/R5FlpIlKfOrK9aLkBcfv+Jbf+9bJGlazvX2dQ27jNvuPLTnyby3Pe/dYDGCpolyJV0oWAkjnVgHgap855yMKn+bdljpppYbagmm1ZKWpFb5l0nZImi7rwTYFX/tOvjSCY0uVWYayFveG9dxF+7nbWw5DSLkDGB12pXmgmtftezGVrNEC+eznV6W0mqHdRmsDXnVXS2yiWyqWGFQXZnanny3X4rtzbLVEmH7mje4e+W2w2lv012hdqgw9804SNR5Vty053S3EH3dhm7kaanKqrxW9SZ19VdLTH6zXOvSbOOc4bWIWnuD3U61dhNH3KUm2yWdtx0AhDIqGqUUgfTI45Be4DGZTJmdvyJNcoaDPe6//TWuXp/zow9+wOz8DL8/4vXLFwAE/SGBPyTo94nXK9IsRmvBchGxmq949fQl0SZmNBhQJDFZknD68JiT+yfE6wX9QUB/MuL49JTl1SXhJiaPI3w/YHp0RLhemKuUlWIy3WM0mVBkKWkSgRDcPzaEarNe4wsfT0gGgwHDQUC/H4CWHN27j+f3ylGQ9Idjgn6f0WBgiMxmiRAeaZoz3j8wTJkf8ODxKXlesFpt2GwilsslSZKwuJzx8R8/4f/+zd8iiiKU0nheraa1PiHNO4225273vG3PqynLQwla5Tcl6sYBS3t1srVpepJc502JwVmjdj+7OMH9tPtXtHCgu8pdnNImKu112VSruYzQLSX6W+X6aUPZ6EBsN8d2smsR7Ewv/9riaCVptLjHrnLahMX97ko17qeVhJrtb6tBmmFmqgvJnEq0rk/7K3RDOmksAIejcs+tdM19tTBKrt8N9SKdMgyRqwmKqL6zzR3ZcWxJMy4Htt2Qm43/u9Ku4xw1RWM+bf72O1rrirA0JImuu36E2iLs1zkE7FpLu1QLN9lxbJqNHq5UgS4UKk2Io4g8SVFKEa9XiNJmcnBwwHvf/Hl+4Zu/iOd5zF6+YFgGwfS8gM16aaI8BwFCm0N5WbTB83zWyxVCaQoUvV7Awzfe5NmHn/Hi86ecPHwMKHSWcnl5QZZq0jQnTXO08pidnyMR+L5v4qlJSc/3GO/vM55MGQxGRHlKEAT0BwNWyzmB9Dg8mnB0ckyWx6BzgoHHYGzcsQeTMVmekCURqSrIk5Q0LoiiBOkFjEY9wjAkjRMWVwtA0+8PCMOQOIzJopRHb73J3sEhvuzxd/7G32S1XJDG9i4XKs/RpoF85xQ35mZXPlNWGbmhkVaukcYSKlXnwlzyJ5Qx4Ett7KfN+nYfRr6JSGqtm3uzauz163k306c7v++CL91G0+DibsjjqiGqd7TuHGjLh9p7Y2z5nYNmCmqsnOsmblsTWj1s2IKEPXWvbXn14cC2emSrDtHdji/q+VWV4Z4Xseof3VTTKcylANWCNMaqyvlASdDKjJN5rqsLzETbY8+xpVjEfpNnyi6oODV7ExNNbqweyzoU+nY7HLcFIcoWmzM5Zk4dhw2hSsLjVRPdlppv4zyx63f7jpR2Pxpla+MEQJ6ilSJeL3j1+VOWF2eMRiOyNGUwnnB1ds5ob8L84hVJHHJ8esQ3/+Sv8OLFSz5+8hFg7DvT/UOSeE2v3ycIfPYO9jg+PSGJ1wjZY35xzsn9I/r9PldXV+BJsmhDJiPSHMI0IYlzclVUCNrzBHGakyUJ08MpaQqD0RDh+Zy/fs16s8STQ3w/oMCcNk+Sog586Ul6fg8tCk7unfDhh58A5nZP4fUI+kP6UuIFkvt7E7JccH42Y3Y5R6LxBn0++tEnPHx4D60FcRzj+T5B0Edrxf7JPsuLFetww3f/8bf55q//SQ7KK6NribXNJHSpjeyFYna+tpnZBucvNK6Spl6zRmOi3TXpRBG3UkLj+owGNA3914GrEit22F/stQC7oKt/9s4bazey33e241at/RKh3Xj3trhd+USdWBn32/msyq7KewMXuouwmA+Bal+dDAZJl9xNJaIKbo6PA/WZGd08ydusvkOaE83PJiGvbRpdp4PtpydkTdBkHYnAbkTjEK3rdkqHMNquuSfwnU30RaDdLmvL6bJR2V6ZCj3QXk3glMAehO1ST1VSXvVg2+Fg19jv4vraBMl93nWtsE2rxriKZGDcmpVSrK+uWF1doYqMg3sPTViXi9e8fvo5l+cX+L7PaDRmNbtis4nMwVng6PSkakuWhuxNJ/R6HoeHh4zHY1azC/LMSEbzqxmfffI5i/maJE6hUAwmBwxGE6QXkEYZcWw83/r9gP54hNfzmEz3QEr2Do4J/D6FECThirPLFWGk8ILAXJiGuZitP55Q5JqzixWFEqR5Rq4EHz/5mLSMNp0VmjiOKuZIqZTeeMjjdx8wHHn4UvHm248Z9nvs7e2htUD6HsPRiCgMybKE168v+ONvf4f90yl/6l/90/zTb32bZx9/yIunnzU0B7vsvo11siVxbks2di6Byk4lhCjtLuZ9ryrLVaNZh6FSnd3CE7XUcLNNpN32ptqrW/2uO9aw2+ctBugLwpcu0VgQQlSeXhbaHHAVU6f1vOIGadpJjDTjRARobW4XWVjbTXW6383rlCmc9912bhnYS67ZgA1ZXqbpGgk1kJTjJWfLqFR1bns0jbbTck/uROhCVe2x0ortd8M2RYnkyvhkiu6zB257XWi7OLf1xl90wbbz7/SMcSMrC0M4dKmWEB6dKq963VjJxZlpLRq/hRBIz12D11wvcMPv68agIvae57RREwQBi8sLgqDPYr7i/hsHHD58xP033ySONnz0vSc8/fBDZlcXBIN9PvnhJ+yfbhgP++xNjSpqPOwx3hubqzR8g9jCxQWrTUYUhgyGYwaTfa7OL7l4PePw+IAwDNlsNiRxTH884eBgn+lUgZKslhu0UigFKs3oDXqE6xXrzZzLzzdkhaDQmiROWK/XBD2PgRiQxCEyASl8dJpz8fIcrTW9YQ88HzxDyB4+PmG8N+HVZ6/Idc54vM/rT58y6I8o8ozVckl/POLeg1POXj2nKHKUhsViAyhEnNLvB2S54Hf+z7/H/Ucn3Ht4yvmzKz76/qf8E/H7/Bu/8e8wHY07GE3rhWU8vIzmxNtC2uaIQKkREDUek6KUl521qtDl1R6uBFCup9IF1GposAy1NEFUKa/XAA8pjSykjdGu0W53f1h5qVpTpiGd0osQ5uprIcSWw0CXrfu6tdsFX7pE4yKfSoXVkcdFVC6ibae74KvdnW9oeSpjWwvRO/lu4sW1rtVkdf5urxK3X43Plq3Gpu2qr4LykrBd4/DjgKui2+WV0/W93cZdUsTOejskhOvUjCbRkUCcT0sMtrhV2X2GBetyXf0VjfeNFCyNyu3H5O6u45zb6UIYLzMv8MmyxBB+lZNFIecvn5tzKIVCK0kwGgCSew/fQeUpm1VItFpSaIHnmygHQRCQJylSSt54+yF70z7D0ZQiT0F4ZFlCEARMplPuPTwmGPQZjKb0RnscHZ8yGI5NH4RkuV6QKxN0M1otS2kFczVBqhiMJ0jfI40TRpOxieAsBKqAoijwZMDB8RHD6QitNWmakiQZRVEQrtYAXL4+Y3G5QIkczxMkyQYtNRdnZwyGI7IsI1xsuLi4IMs1WWYI1N54RL/nMxkPiTcxo8nEqALPZwwHY+bzOe989V3Onr/mg3/2nXK/1447lmC4a2TXp2ohZReK6tOWY0LvbzsgtBG7akhBStSyTuUkYv/Ky966pGqvY22pjj7oHX2142E/t6M33z6CyJdOaBqinBANzqKNXCr1kxM6xaoZKrWUW3bL7di9RkA4g9ZGGZ3ExWlLhUAt8+vW2RJ5jSS1Lb62x8D9bN862YZ6gdR12pvwOsfBJcYt6anthGDLr4z7HcbC9oLe1R+Bh1aWibASQHcwyuuIUXs5byFnx+W40d62wb/0RNOqVGnYkDMlYbGEpFl2Xtd3wyVot4E2Ae0k4uWncQBQpW5dsolCslxx9OgNzl88ZXl+wfJqRpalzK8uTbgYofn6L/4SDx7dJ1yvmZ2fMb8yJ+19P2AwHnDy8JggCJjPZkThEs8fIIWmKDRX52foLKMXGAKwXpyTrtekac7i8oLVYsn89SV5plBK0esPjQPA3oR7Dx9QpBmbVUR/MCAOzYFQX0r6gwAp4ejkkCAI8HomDtvl2SVKGDVZXqoIZVAqWqSP5wVI6ZMXGT3fo98fslmt8bwArTyE57N3cMjB4TGbMGW93HD/zTcIegM8v4fwPTarFVlakKWaD97/gJcvXxKFa7763jf4w9//p+S5vUysXEPazILukNgt2D3lO1hC6prwVETEq1WinmMjdL3cxJYTlNfAiRXTcQ3D1V5Xds9s45ZuNZr7vnu+pr0vm/jg9vvhZ0Z15oJLXVV5kOg6cLmLLpVXpX5ykaqy3h6iU4qCprqsrTKzCL3xrAw4Zk/EN9+rw860bQxbelBngUtqDkgqantIx8LqmnKJoJAd3lBqmyC5BKaKodaxoG9ySGhIm7JWGbqco5uv6323jsbSboX7b6vPrLrMHmpziUdF8KQqOyer9xB5yXzUXmkAWvkNdURt89lWgzXWRnstXrMhuwi3WbvGcJ6uN+R5zsHhMfPLC0ajEcPBmDgJmV2cE0Zr5mev2T86pNcf4vmCR289Jtws8Xt9Ll+/AsD3PXqDPpvFkvNnc/YO9ikySJNXFIVisn/CZrUkV4qiyEiikMneIdF6RaE12vPxpQfCR2tNniuSJGEwHlBowbOnL4mijSEyUWQQse8hPRiNhgCkmzWjvQl5rlgvZuU49dFZSm9vhJRwcnJUDrVmfnWGLkx0iDzNCFdrvP4QLQVJErG3P0FqhSoyVAFxmnH24iVvvPMGi9mCfr9PmhoC5vs+i6sVP/juD9jM1xwfH/P0409YzGccHZ8057kEJQQSowpT2t6Eu9sBwEdUtjFgS01l81dBQ0rkbRxEPGqCZw5Vg4/1KCi0rgjFdYyZ1ro6SG1NAW4+t0WexR3lmivKd9v969YA3B6+dIkGdts/7CTs4gJdblhrvXX2Re/43vjdNYDO5Njfje/uJJd/UsoGJTO0wD0/0/SUaxsh3cvC7G9oqq+UpBk8s4WMu8RnG6rGEiN7BqZxjQAOd+W0Y5dk1SUxbYGW1cY1asWi8XgnkWn1G5qOC5bL75SCGgZ8d2mbQ6GN8zLCIc2Oq3eD+MAWItl1uVR7jbaN+7ug65lVmZg/QZ6k+F6PXq/H7PyCJIoYTcacPXtGnqbEqw2Hx/cZjUaoNCGcXTEYDHnzK++ymV1xcGRC0FxcXLC6mqOVwAvGzC6XXF0uGY4OODp9RByGUIbk8XuDCkk+fPtNULlB9GGIUoq8SEk25pqAIi24Or9iOVtSpJqD4wNUpvB7PuPJkCDwKNKMIs3YPz4gCU3If68X0BsOGA/6nBwdcHBk3LCTyNxRI6WkKAr8oG/a4vdA+qzXawaDHkcnh3iewA88BsMhvV7PXDWd58SrkLy8p8YSmTgxl6T1h3ukUczZi3OyFM6ev2w5x9CQZoQWJijlTjVZl3RRS/WNea3KtGtdopQlLGA8uGo7oHDc1rYUV871ytrZvy5OFJWWY9thCZpER2uN70QQQNUSz3VRA25DgH4mCI2AJjKn1j125m+Jj3Zjf1Ejs/20Nbdv6BQ2n9bXSjfQ5FzsCXhr7NP2vnvLbbcm3FV9SbptLA2kWn2ViK4LyZz33fM1pgWtaMqO+G/rsG1wPdeEaJ7VcaHrmmQAVR44uy1n3+xbDV2HUb+QjaS0tYi2t5+oz95sqQq+YATrXbDLQ27XOBgP7sJIM1qSpxlxGKEoSoTp8dEHP2BycMTB8QOyLGNvesT+4RSlFP3REK8XkKURQmjuPXpEUp60Pzi5x2J+wacffcirl8+5urgkzWJWyyvC9Yo8T1B5TpKkLGaX+L0BWmpmVyuixNw70+8bgifxePjOY+49fGDOsqQ5hTZq7NF4CCg8ISHP6PV6FEVBbzjg8vLSzF0BHprpdESRJuzfOyJcb9C55vSBIYwmeOaYKFyT5jlFYYh2nimeffKcw5NjNIokihEU5HlO4EN/OGY2W3D54pzNJkL6xslgMJowHO/h+z5ZAXEcI4THD9//AdpqIrSRwDV14FyzJgWUIYuqJVJNoWjMH+CoyZRxvqjUyebFwjKN1c26rj3TSOQmwsb1KjILNcFprSebt2RuXTtPVz6tTego7eApV6K5rWNAG34mCI0Fq26Clu2GbeLipsnWzFfEQOstotDJ9e9oC9S61jZa0Di2j7Ju4+pr32yFMZEaV1PZJTFUkZftc9s/BV5rBV1n8Hf7uMuQX0k22hCerkOjbXARfuOAaMecuCH3XbiJw/9xjexStLTA5VUEN41FlZc2wXScClqS883QzfHtmouqGVojlOlLnmYID9I0JY5D0k3C4uqSXq/HaDTi4x88YbS/R54aV2DjkRZQZAlZFBoOuVAIrZiMp1Wefv8QrzeiPzpkMN5HFeYgZ1YosiQnjFPmsyW94T5ZFJPEBS9fvmK9jhiOJkjpkRcpSgtmFzPSrCBJsgox9UdDNuuYosjY3xvjB33SKGY4HJYx18xVzgen+xydnrCczxG+x+cff0Yc52Sq4PWrq3JaPLTnE0aJub5AmvhshYbVasX5q3PC5ZrBaMjV1ZyiKMiVZjmfE25SCg1ZkpLGIZIcoQvWyzmz8wtefH7Gq1cXpHnGj95/QhiG5Z5rnr3znX1nTvoLCi2b9l5nn5uDloB1ACjzNhgOqK4rt+WCpr5lt+lE5IlSnVUSAF1qJxQmEofZz3U7ClGfmfHZttfswoUVg0h9QFs70nmXGrDrexf8bNhoSqnBfneJQ1dn2mnWANdWn3Xld8tVRdGQpBr3y5Rpnm4SQBcqpFm2WQuFxEpWjmqm4w4ZS6AqWUkaudrYZHRFBKrQNC1ipwUoVLkhXKmlFelZN79rTzQInBu5uUKIpmG0bSUNCa5TXXA9/Lh5biOqizJUd819bQcrdaGSgDW19KKlE1nbdV921BceDbbRzE1b+qntQltt3rpgranqsH+9QZ84TMiyjF5/zA//3+9y/MabPP7qCQ/f+QqLszP+8FvfIlyteR29Yjwx51R8z0gPs9kMIX2ElozGxuvsjbffJI1Tnn72Gev1Gt8bsF4tmO7vI2WG1xtQLEOE12d+cY4X9InjiJN7p+ztTYiimIvPLhlM9riczQgCj/lygx8ESA98NAGScL3k8GiK1pBn0O+PWcznTI8OiTYr+v0hs8s5YRjieR4izcmUZHUxBwmD8uK2oihYLhaM94+I47hUpWn6QxP5+fJyhickh/c1Qkj+xK++x3f+yR+xiGccHJ0QKJ/cE0RRyL0HD5jujzi/WHLx8hzhC3SmubrYMD2I+e4ffJs/8xf+PDIQSHOIBXNdcmkb1eaAZq410jOHKrtWV4Xssepc1x5jnheUDk3aukdbW5BZO2b9WnW7lSK0caNW2tyFBSipEXpbkyO0Yb6VKQ2P2oa7K3qz1hqUbqjXzDUkGo/SduPiyo5Dntfut51P/jmBRbgCrvXycPO7YA2nVn2GFe90bT+BWu9tJR17nYB9tqMy89H1qNUWIWV1nsUgjpqA1Pmq+Kn1ZWW2jpbNpiq3/Jk7Uod21Viy5e5dSkoNW4e9mdMTjajOtX3HcjLlNQJOGwxBc4ekqWaqxv0auE0eCxWBbaXdqHJrqVF3EawtyUTU12pbO1LbJmPfrT7dgJ9tImMvdevKC1vnb7okbCmNC/VwNGIy3gfg+N4jfvSd77BcLFgvZygp+MrP/Ty/+Ou/zv03HjOcnPDw8Tvl5pcm+OZmhR/UbX/+6Se8fvEUlGLQH+H7kqPjY0Z7EwCSJGK9meNLOL7/AN/38SWMxyM2qzWzyyt832e9XCIlZFla+fCqLCcIPIbTAXEcM5num0Cb0xFK52hdcHh8hCcDCsxFZmhJHKXkhSZNTeRnWUAYltGmC0AINpsNUZwivQDf99FZXnHYg9GQ558/pz8YcXB0wHQ6ZTzaJ88VSnpGitLmWmohBPF6RTDoG2mvMIFZ4zhhvd6QJSl5YjoknQPJ9YFlc76pXh+716U5Lmz+3FBRRaf+pBzDqii59akwthNl97IwZbu22a11ZBaTE1KKxsFM4aT7UpqLCjskNUW3q/RtGEcLPxMSjZVK2hfyQFvVsh3LqqsspKymsxpMbYiBlU5c9+adB/UNC9Isv4PDl0KgVd5qT4nsdDOveVRGZbW2EUdkEkKgsR5t9Rh45YVuWoBUhiNq6JCvUUl1OQ+4kpuVoGwZbYnI0v92O+th6h5Ad67cPBKxMwioonmws90et+7r1kFX/m64wX3bep+57W8ZRl39dZPweI212y7T5gFKD7NtItQb9Lj35iME4PdG/OE//F3uvfEm4WaNLswZliQK8WTA/HLJ4fERCp9oveH09BTpa7LClOv5PoOgz1vv3kPnGcEg4P7jR/zB7/4BmoLhaA+dF2RZwfLqkizLODzcJwg8UiEQSuMFEpXC8fEReRqTpjm+FOyfHjEcDvGCPgu9YDgaMJnuEYYR6+WKg5NT0jQ1KtUcVusI3/dRwGoZIn2jJsQPyOMYgCiKybUiiVIGwx69Xk6WRihlLoDThTKBMvMCTiRXF1d4viBJEjwdIMqI5b3hAApYLFYE/SFJHiH8AJ1naOEDkr3JPlqAZ92Ryzmw+7A626J1ebKfal1UXqECdMUoSSoqXEov5YrAsjR2zdj3a5ylKXQp4SjPMEMCBLI89FmtROetem2iFJLSgaEoqv64exmMdFPpXmz7XHylbWSShn6GogyqKSgqu/JNYbG+dIkGHEmjhJ0IU1ynZ9dlhNttewGwXf4OfWWt4hBbRAZq7qaBqClqt2PA3m65EwHrWsWlhVFn2bJ32jCUjcjaHe6k5k62nzXArrSWC7VN60LqDZVaBzR9vbbrVx15rY3IjQTdru8mHXAXF3fT8y537ZvKaq+NhsTnzJcr4W2p1Jyrss0m9RoqNCvpNNSTOq/KP354n7e//lWGk2M+fP/75pBkeRVzGkfESQjaRxWSJIzMxWibmOfPzkmjDAAZ9PA8QZ7E5EVKFCV8/5/9EXlqgkz2PI3QOaO9CXFs7qgJ45z1asHh6REnD45NbDXfo+cVeFLR70kOTg/xfZ+D40OCvk+uYTgaURQF0vfNEQUUKs8QnsfkyDguxHFMHKUUKsP3y+jFKufeg9NqLAb9PlIaCa0ozAVpQc8jEB5BEKCFh/Ak88s5L589Z7Q3YrQ3odfrMRzs0R/ukSUb0iQn3sRE6w1FViA1+P0BOs9IkojlYsHZi1dEUVRpRJxV02BYq/kpUUTF8DXWftPLVEvhoJMd68xdU9KQAF0G26wCbLY0H7prX2hqzYQj3Rcd2gnXI9V9VlAgtHbu6Woy5m6Q0OI6vGzfufbpP0dwjf83Ndpog2qVmyUKW4jQKdNKMMKW31KhuJ+2XAGVCq6L6FS8qm6qq6rDkNcgQdcZQJXvSET1buOkv4t86D6QadtxG393q55yryholykReEI2COsuRGsXkZU+2upAd5G5B9waTEHLltS+irpWSe6QYm+Z1pW+61CqK1ldJ7W16+uStLYIktRGDVNGnW5ENCh/F0VBmmzI04yiyHj0+CG/9hf+ZX7tz/1ZdJFz+fIlzz/7FKVz0Oaelk8/+pDZbMlqtSGOMgqVsVjMAeMJJYIhL5+/4vWrc+YXK+Yzc27GNDJlbzrF0xn37h1xePqA+dUVftDn7MVzDo8P2N8b8fZXHvDu1x6B8JA9j2i9Yb0K+fBHn3BxPieJM4o8xfcDPCF4/M7bBIFPHG7oDSe8+PwVw+GQoGeuAyjyUpUGRHHKcm685CbTiSFSwgTKjDYhQglGoxFIbT5VbtyZ4xg8yf37J/R9xWp2QVEU5gxQbsYzK2obWH2g0ufg8Jj3v/M90jTl+WfPSHwfIrUAACAASURBVOOktR/a4YbcvdC5LLbWxi6tSRcj5OY3a9AJ+99iKO3KbRj8O/CPZ9/vwA8u7qsiEKiaOJnCHKcY2TyuIFvldMHPDqFxvt/Iybqn+rWuZrvtJ66d97Xjc24RctGKRVSVr12OoZv/qKVXO7Hd4Wau45QbZ2C0+3sboVdt2YVA9XZaFwiNOY/TIhZtcG01u6QAAN89gNlSfe46EFqlO/PVtgtZu5JLtG4TjqcL8e9qexfh7HrXSildUN3Dc80GBpphQsqAn4bhlLhXHNj6BJ4xlAuPIk9Jw4goXOFpzenDE37ul3+BB4/u8/ZX3uHw5BHhZgXeAL8/RmBu2lxcvaY3OKIom7GYzXn59HPSDNJEs1isWC1j8gzSRHH2akWY5ohgSJrmvHrxCoVHEqUcnt5jMb/kna++Q5EmvHx6RqYKc6+MF6C1IF4lzOdLgn6Pi/MZfm9AvF4zPdhnMBqjMLd0am0IS5EbFViaphQ55Jk57xJFEQBnry9Jk5yg16PfG+IFAZlWZFFU2g4LRoMhPT9Aa00QGCeGX/wTP8/h/hF5klfSEECRGskJUVTHJ6SGXt/n4uUFnz75EXma8tGPPiTNIhwLL0q4EokBj+uYlJIJs0jfcSkSO/axu/a296QhAaL0TNtSb7fWnUt4bIgZ60HWJixAFXXAtQ4pKYwko3QDJ9LSHN3mIMDPDKHpDPXfgRQqKcRFKI5Y60opbml2mjUYMdbJL0rpyCUumt3ETzufulA3n3u5QUKzdXaVsQtxulGdu+rtdAN3dKk3qZw629iBkF2bSht2nrtxbVM0CahVD7adAtw8t5Eu2v1vr6XrpJiu/rbHu2IGyiS/+t2qq2GnsYlFqUYrttRobh98r0dv0DfBLgcDxuMJMvApioJnH/6I3mDEZDqlN+ijtGRxdY4nJHG04eDgkHe+9nWEikjCVVmvh8o1UbhGKYiiDdOjY+bLDS+en7NaRywXIS9fvCZWsFpGBL0BWZYRhWsm4z3iOERrQa6g3x9SFIKCgjhLCXp9As8HpZlMJ+W1zkMWl+cIT7JaReR5zv7hAaqALDUIv9fr4fumX0KIKk5kmuZEUUSSRoRhSJYWqLxA+H2m0wmPHz9iOOyztz8xa6lQJEnGZr3k537pLb75zXc5OZkwHvWQCgqVkRcxR0dHDAY9Do720VLw4vkFUZjx7d/7NpevXzMYDXnx+YsqfhtYXNHGUYagVOtYioZjkUSgi9oz1Z3f9ly7n7uck5TDzFbuzbrWcNQel80ClFKVy3JzT9VSkXNkuSpfFwpl/O1L5k9WEpNbR/M4ejd86c4AlUoEI6ncaOgvoSjd7oDKRdAtr+udKg0QNMO2aEp1nJ10531tCja/dUvKqcqvYyV1tbtCfuXV1ba8tmHcNbjb/pjSa+cBc09FPU674pVVacL010XPhtuSlTHPEoyGkXurJ60+GZGxMjTaBa+w/vu60b8GAZCON071jyYT0SJUthyXK9t1UPcm9eFtHAnstdhQ903QdPmuHAHsO7Z+x+ainXYa1ayHZXvM/T61ezXUB121Nlc2pEVCHock/x977xJs23bed/3GGPO5Hnvtx3ndc+/Vvbr32key5ciyJBQc4wq4gklR6QBFJUBRkIJOKFppQicd+nSoAEkrFVLQMBAKXDgQHFshDkJlWbJkHcl63ed57sfa6zFfYwwaY445x5xrrX2OVFTd2/CoOnX2Wmu+5xjf4//9v+8r1pi6Jookn/7M57g8v+I73/w25WZLrTX5ZMb8OCeSRyyXl6xXF66ycisvszzh/PyyFXwFKp7w5NEjlFJMpimNsdRas15vqOuGKJa88cZt7r96m/d+/B7L5YrZfMGqKFldlxRVw3xxRLktqGqNaWpkJLl75xaPPnzE2++8RbGZ8ezZM4pHS5ZXW6IkJk00Vb11GfFKIrRoKw5IlBKu22Y7kiRDCEtT12yKkqPjE6rtmmpd8oMf/ISqckVC0zzh4uLC5dIAZyfHLJfPmU6nCCU5f7ps2ZoJl8/PQUWsVhuklKyWa6SU/MLJMfNE8p2vfpWi0dz5a/82aZYhIoW0+0hIlsb27oSvkabbRezo0W7tN9YGi7tf/+P56pWMe/+7Ro8dySMYBvP97174R1LSGDMI6Hs4zJedMcFx3Hq2rYFkENaiBShrXHK4EPh8H399g/0PjI/do+kDp/tr6hyylsOy/KrFTHcsgfCY9MmXll5ZWEYWstkjtMJQmbTd577ETH+thx7pTVBVh7f6ElwvEJxhsHKfl7FX0Qaxn3EA/lCQf2C13FCpwVOmPbwVmUAAe5c99FAC19tBIBZt90/Tfc8ijNfcBJvt85Bv8hL33fsA6vPnF7vb7R6gpzX31xlQottqBYMunu32cgQNm7pCVyX1duWgpasLtKm5eP6Uuq5ZXl5Rb7fcu3tGpCxpntA0DYiYqii7igibdUGSZ8wXJ0QqRVjDZJKRqvaZaENdVkyShMkk5/bdExanUz54/xEfPbpkdbVidX2NaUxXBmh9vaIx2r1f6ZTj8/NLttutizFtthTrAiElKo4otwVlUYNVjnXW6PZ9KrRtqOsaKZ39myYRWtfM5hNObzma9/OnzzpijLUWGbm6a9ttSVNphIVivWG9LSiLhg8//Ijnzy6pLUiZsF6tXOmWpkYYjdaOcDxfzFheb7GR4N69e8RW8+2v/QGb6xW6ql13U2sDGQWtv9q9q7B1czcNQsipWwP7TbjdtezmTE+g2d1G2R56D48hhCvC6deKLzNlRV8JZEwA8PvLQP30qRS9JxWeo6s88ALD7mf2aB48ePCHwFX78UfAfw38l0AD/M7Dhw//1s9yXOGt/QAm6bS9MY7m67+Hlp5nuwcOvdZWwTEtnrpnu+C+fzSdtUmvgIaPTY7+3k0G7D+bwXcieNlA2MfRbWNBC+etdDkwgZDrIJpgH2/1O8q2GPyoxe7EE943CK9Zii4Ja5+w7s7j76rFMzynPvSijAw8GmMRUnbvRgjRMVe646reotsbDxl5QWI0F2zgEY7Hoeu/qURRCBsM4MXQm2mLkI6v98Ue+IiTFxzDYsD2iqULVDeu3IzRNUIIqrKgaRokhu3yOTLOsOWaD999j3JTcnx6wtHRjKvLp0gVs1mf88anP8WH7z8mOToinfnKAFfc/9SnKDZrSpqWyWWZHh+RNZbLZ8+Jo5gkVQ6qO5ry9PGS73/3J0Sx5ORTr3Lx5DGT4xOW11u2ZeViHkBdF2TJBCs0yhpOT29zdblktVmjraLYOsjN2IZGC9I0dcH67ZY4TjG4+IxSis1mA8Di9Izl8tJBbApOThZOqda6m49pHKNFRFEUbDYbsklObAVXz8/RWpPGCetNhW5KrBVdfFd7g0vKtmma5enjp3z323/Cb/7rf5kf/+kP+dG3vsP6askv/eqvMzuaEcdJG3NxCtUlOPZVO7yn4bP+RbA0Pa3Z4r40xrRMtNHc3mM4SmuwWLRwvWz9PJE4jxBr0ZJO+fuhrWeeiW6/mzwLiUsc9Z/6SgUMPB9k5M4ZGpMvCA/8TB7NgwcPMoCHDx/+xfbffwj8beDfAX4N+MqDBw9+5WWONY6nHLLIx7h69zgsO100hWUvy8PbEmOREAbHBr955TDIexijmbsjVBTeUg8nhx9eqIXYf7jvDhPL79cmh3oB3137HqHurp/umKGFHrJF9glKX4TTC3+/z45HFno0exaLP3dYx80pjD4g2b1nu3v80NP1gc8w8TS8vrGVti+uE84xx67bbzR4xbKPARj+v0/5HDZEYFwep0vtCzw/H8A2xiCMJc5yaq3QRrJeXvHhuz+hKg2LxZz5Uc7zx++ST09YrTZs1tcYA1mqmMyPqDYuuH7nlds8+MU3STNFmqmWGZYgjGW7vCCNI7JMslgsyLMZq6sVP/nRBzSN4fjkhMXpjGQypSgKJpMJtvWArLVMc1cQM8um5LMpkXTFLq1QXK/XlCuXGzOZzjHa5czUtSsZo63z6nTdUJYlMnL3fnl+0THKyqJG1w1NYyjKVVfV3bHSbJdIWZYlxabEWIGuGzZlQ5QokiQBU7UECye8wXk2xjZMp1Oklbz7wydsNhfcf+1V8mzG5mJFsb5sq1HDQHrIIZvMqSAVJJ6P50Y7R/28OoBK+G16gpFEymi4tmVvxHq5Ekm5wwDza8YbbtoOCQDd+do4jjNiPWLjyQFyR+r5+foy8Wd/Jz/L+DwwefDgwe88ePDgHz948ODXgfThw4c/ePjwoQX+d+A3XuZAY6XiPYtDrljoeHphNR5aDY/pPRT/b6CUQgu4Y4jQaSqL55CHDuzLjwErK7xX21OVB8qmhe5eVDEZRgJVyVZo24EQRjpX+aaEqoECt/1xI3aFpUTs1F07xC7zv43jGeP7CxdQJ9htQBoIvvPH2WHoBcpzzMA55IWE9zw+/s79ycOQWwhFOshit+I4hDCxg9U6JRV89t1NtXZQTVMWqDjBNK6KcVmWVFXF4/c+oixWYDXb6zVpdsTjDz9AyZQ4y3n25CmT2THPnz7j2flzAD77ubc5f/whcaRI4wyrDZESVKVLnpzP5ygB6+UV22Llily295/kCVfPL7m4uKQsS+Ksz2/BWIqqYDKbUJaFIw9sC64ul2y3LjPfGENTlZ2CEEruPhvltoukV7INVrvZWBTOq5tME+IodT1tBFjtmGWREkgVg5U0RlNsSlSS0lQl1jTMZxl5FpGkfVVtV0nEgLEsLy/YbFYU64rf/e2v8gtf+CyLk2M2yyue/fgnPHn/XZqmaQV7wGANkmwVooMpwzjOWJRZa3eIA+Fc6eOyPv5ido07hvlp/rheWfhAvxV+TQiE94KC44fPolsrXVsNZyjsAmyt+glza7hZMoqX1UjhePDgwS8Bfx74O8DPAb8NXD58+PCL7e9/HXjr4cOH//kLDvXTn/zPxp+NPxt/Nv5sfFLHXpP2Z43RfA/409Z7+d6DBw+ugNPg9zlw+TIH+tv/03/TXt6u1XmoxDqwE3M45AHJkRdB23UzPH7vyvb+jmzxdSMFSrtA57//l/5d/t4/+nuD8x0KOI+x+y7uENQmCysB3ERVftF34998rsy/9av/Jr/1f/9Wd869FGrrg3q7Ot9DezdVih6cW+53pf29KzvcJqRaCwt/5ct/hf/5a/9wUFtp7AWN99mXaLr3Ow8xvETNtfB5hAHPMGEO4C9//l/jf/vGbw+fQTBC0sL4Xsajh5AVRtfUdc3186dsri8p1ytilWCs4P0fPOSH3/4uyWSKrbZMpxOePF2yWZfEsebu/Ve4ulyzvLxms9myLQvSZMo//dpDfv1feIPZ/AShFM8fP2W7dW2W8zylqSukiqjLCkTMarNmsylYbyuSNOdoMaEqHOMtSWKklLz36BytDUq5vB1jDEpJzk6PUErx+Mk5R0dHaG24XrmK0rpu0FozneZsywpdN4jY+f1VW6EgjRNWqxXHx0cOUtO68wa11mRZ1m2rlKJpXNKmQQyeeRzHbDYbTk+PuX//HsvliouLK5bLZesFJWgEWZYghGWapxyfnVJvr/n02/f4l/7Vf5l/8tu/x/0373D/1df5/ne+yWe+9EU+84UvuxbbUtIAaM2/9xt/jf/u//ofBrXMbBuvGa6JPtXxEEFoAPMaS+graGt3iln6GHUYqLfWlfv3zdJs6y17r/k//Tf+Y/6r//HvdFWex9CyP4cQCmM8C9JB86aD1/pr8vv/zb/6n+yd3z+rovnrwC8Bf+PBgwf3gQmwfvDgwdvAD4HfBP7WSx9tj2AeC2wC9248wjiPD/x7RRT+raWDacZKSjnNgxBDJFJY6ZSPNCNy8PDcN2H0feDXnXNfYqUMFshNYyxwx+SB7vyBcvDPYwfeCq7DV4MNRwhb7Qu8DyjRog+EhscP4TNpXUwJ/AsIrjcgfwgLKuiDIdvgqRCCRtg+XyW4p4FysaPYVjCH9jVvGkCnojuEI1C0v4V54f54hwyNcLtDRseh7QGaquxguPniCGUlSZwhrOAb//Qfg5WU1ZYsy/iFL/w5vvVH32S7XSOV4o233ubZ03M+ePc90vyIoihYHC+Y5a675fHxKbbRNEXDydGCLNmQ5Jm7Tq26BMrV6hpjJVVZc+vOGbquqQqnSJbLgvl0wvGtM6Rwwe3NZkMaJyAVURKTJBmP3n/M/HhOXTc8f3ZBHKeoGKJEERGzrRt03bh4jG6QKibPc6w2nRLRbXvnPhbhmJ5FUWCtJYoi10AtEmSZy/fR2qLaVtDWWqbTKefnl1xdrjG2QYqoq3BdG0e2KEtLJKFoiQiXz865ffcW3/z6t2i05cc/fsb3v/M9XnvtU/ze//o72Kbh/huf5uj2XaIoRio/QywKhWmZhN5g8dQYNw3c3x0Veg/1P/zbwfmuvJbpeNRDOSJbGD6oruaen1e60HUfFq0CgmG02ZOUemXlPjlCgHTP3kAjaEvtRAiawVq4CR37WWM0fxc4fvDgwVeB/x6neP4j4O8D/w/whw8fPvznP80B9wVVx5rbxy8kYscDAicgjA/o7wlUhaSBm0S69YUUhQEzfIBNIFzHdcf2CZK9lkpQ8kXZwwUmD19fe77AM+rO72MJN1TCHueGqCAe4uMN3dhD9/b3ECq+sHDnvgrM+zwjv20YHwk9Dv98vecng2sOt9lHPw7jQoNzjuZZ+E7G242v4yalMv4cWpbjc920IKMkxkQSa5zlr9KEydERj9/7EUk84dH771HXNZPZlD/+5rd4/OEFaZpzdHrGoyfnPPnoEdnkhKqquHXnNlmsmMxdoF5hSfKMPJMcLXKOjiZIU2OLAltXRCpGWpdIWRYVSRqzWV66YpjKda6UkeJiueVPv/8T8skMpRRpmhAlMULAdDplW1TEWUKSpGy3G6IoIc0TJIKmckpLGksUJR3zK04j6rJACEueuzYBRVFgjCvFU9d1JwAFkLY10OI4xhpB0zSkbYdNXbvcGiWcYTGfOWq0wHk/Pk7kGXNo9850WXH+9JxGW548es7jD855/yfvYqotJ6d32KwLJtMTvvZP/oCH3/oW69Wy7XLpDtM0GmPq/n23/7tYTF9ZwFOiD1aND4eViLZtgfLre+TZjz3tcPggvwiUy77h1lkYhxzPUR93NEQCZ2YG8/lFIZifyaN5+PBhhWOYjcef/2mPtQ/+8AmYA4HQfu9utaUDj48l2gBb4K523osdJtb5Y+vBubzglO2fEpRBBBeoRA8nhUmU4+sIR8deavNkCKwA7SsnjzyUARPOH0+KvYK/O66/dsxOkHznerxCGCWLWl7sWfnrGlv2vuq0xrWE7ZSLdew7Z13tenXhdRrj4EqvVKxP+hS9dzMmAuxUpT6gXLQdPhcPpXovqLP69ry/8L73PYvBcwiOM4YkgB34bqyMEqmo4xhdFESR5On77/KT732P5fmKogIVZVxdl9SFowBLCeX2CmElk8UZ508eOyUl5sRxgmoD1FEUIWxDlGXOI1CCZDaj3DgygIwSirpyz6TRzOYzGmMpNmuUkERxStHmx+gGTFWy3m6Y5jknJ0es1luePXmKlBEnZ8dcLZfoBpfXU1asNwVxHBPHsasqvW2I04Q4zrr8GSGc0gCYzSbUtW5/k2hdo1SGxXbfeYjMPVhLliVstw5uS9OUuihQQqIigZSKsmjrdNk2oRawlAg1x1pNUxuscey37XpDOltw8fySxeKIutyy2ZZkWcYPvv2nZEdH/PJXfrW73qapXX23qLNyRjKqFU44kaQMaLnfk+n+7rrzAlYjiBwy4qhEnTEuuyP3RlmoYMI5aMbro4V9dud26O+AlQpllH/UGKHwFGjvLR0aH3vC5j7L+2DZfj+MHTyscFF3jcr2CQx6T8Za2ymZ8PNge2vBjITFCJoJxxiyCa/XM6X2QV2efXaoJAswqJC6MyHClqvCdEmQh8bLuLovslDMSCF1C8TS4sW2q5EEQ0/J39++ZEikw4HHz9h7Ll1W8x6PdWy0DHKSPAxHD1f6QqYd829UBulFlbL3fR4rjRBCOzTCbZRS7bVEZJMpSMXVxZL7b7xFerTg/PFzmlpw8fQJdVVR1yVpIvncg5/j7r37mMp5AUmSUFcV9+7fhcb1dxE0ZPkUTEOWJSQqAhriOEXQoOIIJUBJyPMUXVfQJio2TUNZrKkbg7UCKyGKJCfznOOTI4TRPH9+joojrHV5LsWmpGkaF9uJUxdPMRqtazDKJepq7ajO2glrawxp5hSHRZNmyjHNYsVkMiHLI+I47vZtdOUYbU2b7Kkgy919GNOQxC6uo7W7Jt97J4S04yjHWheX0KYmn85ACt5770OuL5dUZcOTDx+DcMDt6voarS1/8H/+PkVdDeZY1CaQ+qH2zCH82xB2pxLy3vlhXbkikG2ts96b6GrojeSKh8X2pSMMztMahHaPRdoZRjiGmWiNXJ+YOnYGPtGVAQ6NfYs5tOxlYLmqNkEw9FgG+46OZ9oyMOP+N8oGSivY5xA8NhbYe4PtIxjL4bYhWboVeuNqxZ1R1N7jDRDdWBEO8nL26Ys9XtFYKN4UNO8EdXudoVIbUIHbXB//3SCm0gr+fR7tWAHtq1g9IFR4BW4Z1J67idLtr8Pfz/i7fZDcTeNFCunQdzujNUpkpJCZK79SFjVFUfH0ow+wQrC8vMRYQVW72l6r1YbHj57xxqfvkcSC48UR0+mE49MFF+fP0O2NRFFEU64pizVpmgKSuqixVmOtJoli0jgiiiTT6ZRICeq6JEoSdFVj2wKLSZaRxgJtKpI8o9ysefr0OdM8J1KQpglXFxcd+UIIQVlX2DYfI4oSwOBapzRoXbsaaRi0MR3EhLFYbUiiiOkkJUsj0jQhSQWTPCFL4y7eIhXIFhpLkoQ0izHGJaXGieiea1VsUHGKxVcFqKnqAqWckk+SxJEbNpbNastqtWG9LrBCsry6BCGoqoqL51f84OGPaYoNulWSaZq5uWOH8Ji1tm+82N6bbg21cTWBffPDoTR9SaMxfT9cL+Ea9i2fnczZg4R0+7tyOd25gx5MjjItB9fZ0a9FG94w5oXw/8euaMZunB97YxvBdyZwS8O/YQifdO5k/+PAigDn5YiBVDGdqPZY5SEBES4moBOoY9wyrKYaVjHoXlBYyVibLldloNgOvMsQxuqYbC/wukIlus8qf1E8IVQw3bE8BLX/1O42QxKBtTd6iH77UHF2jZn6l7/jCY4XXXfv3eegxEug/MLt/HP8aca+Z/ki73FfLMuPuixIkgxd1SBc5eMoyVovoKZqDOvVkqLUiDjj4Te/ixCC6XzCbD6BqsLWimWbRxPLmEhK8mxGtW0oN9fEcUoaCe7evUseS9I0JcsyLDXZJCfPc9I0o27LtTSNAdOQ51NmRyc0ZUNjYXF2y3k+bRFJKRXGNqRpirEVttZY05BETqE4KKuN+0gJoiFNIuJIoktHBphNUiZJhMRVLY4kSOHaF2dJSj6dkOWKLHdEAmMtdeliMFEUEUcRSkmUkl0JJWuE664pnLEqReYUXlN0CaCNgavrS2pjMQbWm4r333vMo4+e8+zZBdpYkjTn5OSMr331n7NZuUoGMkQW9kCm++ZFKIcOeR5CCFyeVSvg2Z3bYYHMvQZOhyz0o5NJA8POJRO7/Sy7sRoG3zmDUu5lzYbjYy+qeQjL3omx0EMjobexM5SzuhA9Vm7ssN+1YIS74x9eWGYThHIe61jo7LC6gs9Wm0Ey2jgLf3DvtmV8BRPB77e3EOXouY3/9uytQQLogbEvrnDot32em39SBjpPsHPnxycztlOknoXTKUZ24a7x/fnzxVZ0MS4Po6lD9+lp7PTVHloCobsKQUv6kAe9mBd6Hy+xzU3PefxshRB9hnbTMq/aeRClKXE6QZdbkjbGkuYZ508eEcmYzfICXwNMWNhcP2d2dIquCkzloLM4UWAkWjc09RZhG2bTHCUtWT5ByIhlsWGSpZR1gxAKNUtYr9fuOQmBipsOqnr66ClKKYyAsrjizr27PHnyhMZolFJMk8wxn3Db2LZ7pTEGrKvWHEWRIzdEKZmQxLmiapwIrMuKOI7J0wxtnLLFQiQNZVlirUTFEqWgqWqiWCISRV02qIkE2UNLk0nGtqxQKqZuXKUEbRsilYBQWOsgtiSbsF1fg3VKsDGGLEkoK8ew0o1rSra6rsiyhK/+o9/n7NaJu966IYpcwVStdVfdwb1zV2xTWkcKkNa1KQk7bR6eRJKQTtzFX6TF6qGhNix45ErKhHNwn2Hv4qj+qLvJmSKQf33Fgp/OCPvYPRrYr8nHVoARgJKD34CBmBFCIE2vVDy8NlYy43NJ9+b7RS9oo122peS+YARQVFjxN4SYwvNBrzRj0de56o7BrgDqrmvPGFrSvibZLpx3KIZ0I4a77zy2Vy47TDCfJxR6KtIRIUIceeypvQjuCs/j9+1iQYMNh+Vl/DnDxezfr7A/3fTf57HcNDplOvIOD8Fq0M4fbaiLLSBpyoo4S4miiHw6Q1pBlCSoOObiyYdM53OSPEPFaUsWqciTmDjKKbfXKBWzOLsFQBJFGKPRrUU/PVown6UkSpJlGU1dMslzslQxz1NUZCi21+TpBGG0Y2w1rlS/L1HiKxhIBY8+fITQhjhOmM6n5LMJUSzRWpPnOXkcYbVjkZVl3TLA3JpMlSDLJSeLI86OpwDcO1swzyJoSiZxTBYppMRRpZXC2oa6rF31gLaaAoCKJSAQ1lAVlTv/JCWNXZFOY/qioCFk7O6vQoqoQyoiEZGmKUI4yKxqGiyOBr3dllRXW/7Bf/sP2nfYv3OvgDU2gJ36ts3CDuM3N80riUGZPo7i152xw4ZsXTUArxRgEKDfYeEOPo1VVHDcbr+eefZC5TgaH79H0/0hdhamM169lTxkSLld2n2C72y7T3hc9vwtxIgvZnq3RAYE8x2oyQvLQOh1eSQAoWIICAChkOzK3Yf5LMibwwAAIABJREFUM0FxzE54iv6/fZZ+f8qh99N6s931ergqXFSHxssK0fEzsYL9TMD2eZkWIxjUd5L9/n64KsA9Ayw8zj5G3E6cxe5ub5EOcsF5ru6dyJY4oToPeZ/CtXb3nLDLHNu3n9/mkEezb/hqxlLFTlglMe989gF/+Hu/y+nJjOL6OVpb0iRnliec3lqQ5yl5OuHq2SNObr3O6++8wVf/j3+GrV0ttLrtR2OpSWJFFilUmlFXrky+VIa6uORoviBTlrOj2xTbmkfnl6zXW1bXF8xnOXFjqKqGui4xWhPHznuoSxerSVJFXWmq7ZZyu2UyTbh775RISq6vV9SNIcsTIqnQWjPL5kSxIssS8jRjfX3B8uqST7/xCgD/4i++SiwFkzThuoA/+eH7fHS5ptAu9mKMYbstWG0L8jSjKhuwkrquEcKxw7RpsHWDjASLxYLprOJ66RJZTdVQ0xDHMVq4Qp/b7dYpbV1hjCWKZcu6i0iyDEPTMd6stcxmaffu/ou/+Z/xV//Gf8Abb75FHCedYQy4PBghh8YOTtmEMZx9c8m0uWcWi2wTOIUQKNs2ZLN96ZnBfLPWFckcfR8qovBzv43L+fGyRAjZsts8lVsGsvrlIOZPhEcDDOIv3WcPrRzaBtqEJjH4vXuZ/hf/4Nvv+mOGlZaH0Nh4hB7CPhhtHGtwwnXXE/FxiVBAdrEKrwRkX+tr7BENXmp4/DY21HlRgZfl+mPsq0Zkun/+/vvj74+0DCwwO1SiMHwG4TWH96HFrkLbCfaL/hncpGR3h1Org7iZqPAQmRESIVR7Pl+E0MEiBB7OIaWwL3YVejo3Qo4vgECBDnZVSmFNQxwrZidnTE6OmM0mpHnmCkMqOD6d09QFTe1gtun8iOX5BV///f+XptiSpFOauuzosXk6IU9cILyqlgjbEAvDZDJjkk3IEsFsEnO0mLA4yjiZZczSHKXazoy6Ae0gNU8fVkohZeSEfHs/zuNRXFxtePL4giRLmc2m5FlCVTgmWpREzE6OmC6OXHD98jlGQDab0JLOmC2OWJwcEceWu2cpf+nXfonbRxPyKMK2la2llESyz4/R2pIkifNQaue9lEXNelmy3lwjZESaJ85LiWKEjBw0awxFUbTzThNHKUrGNHWJjGJqU9Dogkk2aWMxlroqePWNV13BTiAWEb/1d/8+Tx8/pTYaFbzzrrCttUHwX4w+75kT4ZyEQcVnIXxu2ciAtvZgbs1Nc3Cf5+3ZeG70JAHRMuZoG6O9aG1+chTNaIhWE3s14pXE4He8hTxULNKp4cF3Ph4wHC9/+4diHocwdyeE+2C3EPag0hCjiTL+Pfx/8F2rTBxxYFj0c1Bm37pvQmXi/o667fvvwJMj91oqQRygu+bQSxmN8H7CCtCD+wzX1cAB3YXZ9o3hdq78uqXu7lnSFgaUfXJoz7IxdI59gIPvezcv8zkc+6Ay//e4vFL/vaMNC6F6aElJsnTG048cVFYsL7l39zZ5lpBnM7abCqsSmtqyuV5RFjVNU1GVW4RQYJ0SODqek+WKs7MT5vmE4+MzsiwjixT5JCOOIrIkJ8Uyz1Punh2RxpaTo4Xrc6MUsYpIlERKizUNSEczxhiKbY0V0FjDtirRtWF5tWK1XAGwODkmSRxLTNcNq8sLludPMaYhip0HJ6wrQQOwXT2G+ppYCmS5JhaWL71znwf3b9NsG7arTbcmnDB0baGbxsWQjF8vwrAtK9abivV6y2ZTtImWLqcmUkkHA3pYLUoTolgSJTGRgDhK0Y2rDh3HCWk2JU5yPvrgQ0fWALJ0wiTN+d1/+L9QbjYY0/ericaed5BPE86DwRoadV11U/RwpYneW9qdozd50/vlkGsjvk9GdgpItFXI28PeJE0/dugMdjXqABJrIa6BVyMEFo1AuWqptu0UKXpashEehnGQ1AC+gkDk+x4O48c0dif3XLcd/jaOp4TKrYOMRNupzrTu8AjOMtiBBX8oMO8EJbjGWbK9P5fjQDCp9rFf3PdOCHtX2LnFgh1GSXi/QrQxQ9tXug6gKvY8p8Ez8VAiAdmh3X+cwxRWFxgL6hcuGNvWq20rz0rhgq6e92/QCCvRQg7eev+8vQe4O34aaHG8z8G5Mpg3qr1fi2qZU9V6TVVs2RYNx9NjTu7eZrLI2SyXlFVBlKRcXzwjkYrJbM5mW3N0dIyMFLosWioz6HJLnCjmi2P4qCBSAhRMpzNsG7tAgIpjtFXIVHFyNGerNVJZrqKSuHQ05U1RohuNkpIoktQawFJuS9Iopm6Mo7ZbS1lXTGZTjNGcnJ1gdRvMryumk4TpJCVOFEmkyOOYRebE0it375ElERhBsVzRbJfcf/0OyWzCN77/Aau6xFSGLEuoqqaLF1VNjbCuJbTWDVKlQOEqHKAwVnftDYRQVHVBmuQYYVxdLwvEDdNpjnSLnKosUUpRl1W77kuSdMLTR5dMZi6mtN2sSEzKsw+e8Kff+Q5f+MpXunmkR2auEL7jKiDoe9i0RpFAdaECr0xdaf4A+mrjnh3q3nXM7cvP+BC//x92Z7YSYgd6c+fUQBQYZGokTyw2qGxvblA1H7uiGVi8QbvbcAxw8hF0YwApXGq8pWUh2d4Dkp6BFiiZUCD2539xn5nxcELzwJAC0TbLcrCMwAoLQu7P1u/iUrv02FAZ9ZNBuklqVWedhzEMJYavdm+8QTSE/HznyhNMrD3PY9TGIGTcjc+1c29CIGQPFQ72CSdwu/he1vX3Y1zLzCl1WuioXZxuVmDFEBp0C7yh9Yn33v/LKpmXiYWNDQg//KJ39xK1lOKGzXrNq2+9hWicAHj9jU/x4fsfUdXPuTp/znSak01m5JMMlWUsz5dgNOl0Qp67/I66rpkfL9BlQZzHxEqQTHKyJKZpXE+X7WpJmi6c0NY1R/OU6uKaNJHklUKJhFo3RJXAxgmm2JAmEfW6BCE7ynKSJpjGJRD7Znjb5ZI4TcE0TNKYKM/I45iTec69O6fYzQX3P/0Wr9xytdlO755AqxxEWdBsSyazGcdW8sYrZ5iPLKVuECoCbajaeWeMqwBR6gZpQOuCJI4di0xXGCCbuHNo62p/NU3dUqATMC3hwVimixnXy2VLPjAuIVWAkIK6KVEq6ioDlGXpytpEMX/y9W/w+S9/GaU8XbhBBMSfcJ7K9m9pwUivfPpyH938sCEv1uUbGSHdnB4hDH4N+tDzoAzNaA150oD/1rYIiTtGz0QL156ibZxI3wF0HxXaj48dOgsvvqsY6j9LMVQMwYLUrWcjjMAaxxwTsJMAZenfgYfQ2qOPHszhStHjIcT+rPaxxTpIUPS3YIeCeR9s5ifiIRc53N5b3542vBtr6a+n99zaiWO8QvETSeNp3p7h0pExgsD2uH/N4NrFHmUgRf+vzXvxz897fkrsd9FffP/DZx7Gllwdrf7vnsbpRpeTI9qyJP5crUe0D7p4mfEykN8huLSvmutKq3j8/+jkmNv37nG1vEQpwUcffIipK+I0pyxq8skMIQ337t9FGUNTLknSGCkaVNugSCqoVyvq9TWxEKR5RixkSwpw6y1OU6ytqasNUSS5e+eE48WULInIUsU0T5CRIoolaewSO+NYMZtlbWfOFGstq/W2Tb503ut6taLWBmMsWE0sBXGsWBxlvPXqCZ/7zGv8/INP8/RHD7uKwkmcIqMEgSGdTrBosiRhMplw784JiyPHZEtiSxS3VOL2URos0jrGm7ZtHEFJB022BolurX+My+j3/XWiKCGK3bsoK9eG2lpLU9tOqViLozDHUff+0jRnvbxmtdqwOt+wXa0xRjvWmNiXW9PDZ2NUx/1gRtt3swQfcxXW7hgtvoSTEC0LN5x48sC8G8xO1x+pz93xCEGvEHVnuLHTOHDf+ER5NOPvRaioRd8oSFqvgXu4zG8DgLUDnNJ6Ade6f+6XMRe8oVc2I48isNq9FyPszqZ7YB3j4gPC/R3SEw+xmcbP4CZl444h3SJCtRDhbpvp8HqGBIi+BPj4nEJqsNFgAXRMMQ+BhXCyV0gBO9Dvq3GepS8hN2bi7ShlhotyrLheJMD95rbFJaxoEDZqqepNyziTnZLrq3Z7a8B0/7+M0jh0bTd5X+Pjaa07w0FI5Rh8ukEbaKqK+ckthIpYX6/YXD/jh9/9HtP5jLtvvoOkwTY1R0dHZEmMsZosm5CmKbPj407ZXj/7iOPjEyand1HWIIUG2vLxxoAuUbECGyOjCm0NkTTcOz3Cao3VmlVRMU9d07S6kdi6phGQpbGDrSrH4jLWsbPqGlTkul0KAcK68jeTScR8lvPmvVPu3T7i1knO9M1X2F5e8sGPPwLg4ukFsYDJZMJ0MaO8uHRxHBxcNs1TNtuia0zovIOWqmwMbk3TFd1078QxMh3KYJFSdUhAiBoUTYOqSrbbLfOFKx5a1650TlVVJElClueUxZpZW7TTIomyKc+fPkUqhYwjrDfQrNwjH0T3f0cK2DdlrEty7X8cedoefqNXQQJX2w8xZNdKY4N2zTcM23tftBlzXn7563RzWLU+TQjO7Y6PXdGMh7VtOwD3oRd0UrTUPiDMM2l/E2b3DbmJB9a0ok9EbQJfKIx3g7L7oCo/lBgGyTvW2VgpWLCtW+uMgp4K8CLBOaZDj4fssNi2QF6bjU3rsbiSIocmk2w9Fzd5DhV4FMQDJRpeW/j//lP078Yxx4LvRK9MuufGbrziUCxmCHW6+wnjVn4bMbAEPFQm27/7RFOnVCLGMbk+VrOrhMPr2Bdn2bf98Np3LVhfSbijigsBMkEZSzabsjg7ZXl+ga7WvP3gM5zcus1HP/wJz9/9Ib/85c/x0QeP2C63IJ3iiOOY+WTG5uoZceRiNK/cf90Jal0h4oRiu8SYisnsDN3WMlNRilIVUsVsr54R5XOyacwrnHF6ckSxLbkuDJdXKT947zFKOLp01WimaYI1bZwjjbuAex7Hrj2AEsRSkGcxdxczXn/1lNdeu08SW1ARtq74/Fd+ma//7tcAWF8tmR3Nubq64t5rb5AeT1ktr/nwo3Mq4zy12TRDqYTtswuSJOryc6SIMLrpiDB13c4XKxHU+L5IdRsvlCICBZM2GVaaiKp2zLZnzy7JsqxtB21bZafYbjYthdod+/JqSVkUCCF59uSCpq6ZWtGea5/hYTuoeqeSs+2aC3CTABdCdG0sNHRUZykgsu7e/MzXtLHQVlbaQLH5eE5DXyjYz2lrWw/H+vbNGgfdt1c4ICPtHx87dBaOweLzNykcqh4qEiFomURuSK9IvNUdQCqD2EyYJd69dNNj+QHs41zrFsbYY7n76x0rGb+NV0CytQb8hO8gt7DkjLWDxMN9OqIXbD4gF9YXCmsT9du1T4dBHSOCFsLB6ASl2E3GOsjAsrsC99B1++3bp3Bwm/4+XuTFeLq2CSA/Ai9FIYVASxNsP2S+OYbGLrvuZm/TGymjGM9IiYTP5dDzHv++bzuDJpvOsNWW47PTzjA4PjlhcTzhzU+/xuL0mA++/x7Pnj3jeu0qJN997R5gKTdbVpcXQJvIaDUqgmyaMT+9xfHJPVfVWQnidOJqqFUVVVESpTNAoiv3fBMVEScTmtUVEVs++/arHOUJSoIS0OjSwX2xQEpBJAVpHGGFwVSOBajaFghnpzMmaUa1XVEVW9abgqvNik1Z8dYXfgGA+dkZMmpZalVNnEygqdHWsF5tqeuKfDqjrisUiiiKOujRGL/WZJcu0NsefVDbESAcPSWJIpRwMaay2nYN1awRbLdbrq/X1LqhqtpCnrVBBG27Ly9XrNYlVdmg2/bLTVuUFJzgx+d2+WC9dHNV0ZNVunVoPWy1f2i7C8cNkBxB99lDXAMCU5hojo/V+Pk5NMStUd1197/1MO+LPP5PlEczWKwttDXI3u4wS7VLdR4JC40dlCcJPSApdgXmvirS3jMZX9u+zzv7DuCblmUmHbTlrkMG7udh+vTu8PBXOAHl6HfwsEH/+QUWx6ipXGjNH7pXK9wmwjPE5C6F3Cn+wFK3+xVpf95dJTfoZz7izojRwvKXbdro3LgSuGecWfcyRvc75ujskgJCBX5o3KSobpo33hIdBHaFQkYR09NblJs1Z/duYWxDFEfMFzOEsLz/o3e598anwNSYpqbQFUkUs1pfoJTi9ivH7oplRL44QgqNigVZPKVcXtE0NUhFU5founGCmAoZZ9RlRV1WRJMZzz78iNX1Fa+9+SazfMKmLLh7NuOH7z7l6dWazbZmU7iAuG1p40mSEMdxm9sE80lMEinHNIvcvFPRlOurDU2xRVeGydSRF4xUZHGGFbDRFUY3RMkUWxesV0vyyZQGlxNlBF3pG9s0vfFoXU6Ptbp9uMYJXxE541VorBDEbS+bbVlQVxqL8X53m/gYE8uYpoYsj6kqp4RCI7RY18hI0ChLYgXPnj1hcXLEkPXqUBbdNS9z5A7tfurmD1aCFUhhDq5cNfaY24C+xJ1P79lnHwnlEHLQf92XoTkE4e/H/PrxyVI0hAuxk/DuBrttes3qFI/qvJjwGLIVcPvOAcOH2wW6w2d1Q+Ow8dj3AgYxBx/b6KZBq1jE/mO8OB4wVCy98PMT5Galst878JZW5DXvwXsLj2FbqrNAYE1f2NOL53EyZ1eHzRtV7OYX7Y0ZtbCgv17vwofbd97lXo+w9SCswEpLrxIb+mXgvaM+udXlE4RW3P//wwuWWEDjvV//DIWgqQ3JZMZ2dc3R8YJifY21irtvP+DRD/+U49uv8PqDM97/ztfZLleos1NWF0+Z5hH3Pv1zVJWrDCAiRRzHKJWg29YB6fyEZnUFTYOUApkmGA1SxmhToaKE588vuPrwMffu3ubn3noDGSfopkKKFGHgzU/dZfp8yfW24cmzC7ZFw7qsqdvS/T74byTkyYJ7ZzPSKG6VTExTu7yWpipZXlxSVq4r/PWzJUWyIs3bCs3C5UElkymTowWbqmF1dU1VNxgsujbESUatV8O1LFqvxfZC0cXCInyzLyEEdV3TBBCbtbp9DwKhG7SQXdvqyWRCVVVoA+vrtdtHWlQkwQiiKEKXBegIo/qAvPDv1dCW2ndyQSF2KNDWM9Da4Yt+hiM0zLo1h1tnkZDUWh/cvjtuu6+1Nvhb93OzPbII+s+EyE9/lMPjE6NoxtrVYfdOS7eGM7RKhuBzuC/QUvnGNN5QSDiCoBdcHTXYPzgRQEIHuksOhd9+xSANGNkK0tYSd/t5uOcwpn+TcN+1PhxW6iutup9fHhHtFZO/l6Flf9CbGVhSdF0LvdKXwW87o6V9dy63PbBdcI1ueOKC683hgrpDUkdolIBXdLLbp//sFcwuDXz3Xl+sZAae1c5CDn47eACDtk6xWOnYWUIIIhUhY0GtYmYnZ0RxhhCOPFBXFZ/67Od59v4HvPLGBGtdYcc0TXjttc+yub7GmgIlY3+R1HXpjAmcwHTXC7GKaaLaCf5qSzY7pSkrvvGNb3Ln9glf+OVfIM1itzZkRF3bNqifIZ9f0JQTpCzAHLFcrbFXlq1tKEqNFhalIoR27L40jpjNZkgFVhukjIhERTyfoY3keuUSIMtNSbUVLM+vufOa4jiJSSJXL00IQVmWGO0SB30By7op2+TKwsU/2mZqWI0RffzBvQvtYiEajHaFOcHt4/6IArlgurUpRdyy0yLKumF1XQQvO2rL6mQsTu9ihWmViZsJnaDuYs6BwWt9oN4V7rRmSETyMS85kgNa9LUHtemzWfoYS6+IBlNOOG9NB593mqJ1MqtXPv339oBM2h2fCEUTXvQQPutv3n9vBIh2EbJHII9zW25GOft4ij9Wnxx/WMns+38w2uBfB5/hYSiLE5Zq78u5ScmMYa1Q+PXCd18Q3SmRF8E5XlHseg2HJ9HgXakeCvT9x7trDxcLOFya3tvZx2A7BJc5PeatLK/Ax3GWgFnna5q1+Ubu+BrR5hn1pAFJn4C2/73ugxoObTdQPKPfrLUOQpXeUGop3/6ebUsltZLGuMU9mU1pspR0NmNzcY6tYRJPSbKM1cUTpnmCKSuyac58MqOuSoTVGCswrfeCiigbjUaQRjHG1GzWSyKTIBJFkmYYrVFRgraGP/6T7/ClL/4S86MpVjtPT1cVQljSaU5VVV2QPE2WpBfXxFGEQVAZZ4GniaGuaxSCxmiW12vKswW6aVzraCWIYomSGWmsmEznvP/17wJQVK6FQFNuKFcr0tunRFmKih0V2Tau02bTuBJCrrtmiREGoSIkqvMC4iRGCNdK2jQWbZvOKBHS1Ufr5uLe9+oy5YW0NLpCiAlRElOVDXX7fKVwz3U+z5kfzVicHHdv383RXaQhhKdkqwgbvPGn9qZCmHbHLq5n7EF4TbodXTynFUGhIvKHF7Zn6ro5uot6CGFeSqnsGx+7onEwpRMs2pjBSxahsPFBfp8wCB2shhDdfiGMBsMJY4UZWJchDikGD3koSHylV3epN9OSw7hOP0wH6YiOinlz5nl4Hg/the5qL1xD2iOEisXve5OH5O+3Z5/dUH5mtK+HBH2gtYcL+89jZeJLcbxMnMYpgeG9OZhwBDGE7ru0o4KcZnBt7vj+uUFvivQFAwf3Nxovs9Bumh+eLYhQ7W30BBEjDL5pgcJVYRBWDNhBUimXJFiXKClZXTzllVfucvXoJ4gkZhbn2KYmimNMlCC0wCbuejZr13NlOpM0tiHNJhDFsC1AWKyByfER3/2j71EU7/HOq68xm2aYxpWaiVREPJ9htSOi5FGClBlSSubHE+I0Issm1E3DarNFTBLWmwIVpdSFS4i8Xm15/PScOydTlNDk+YIojoGCfDZDNg2RbylhDFIZ4nxKJGNmRwtQCVWjwTTU1YZGN23F9Np1Bs0SirpxVaJtjbGizd2KsaYmiiREkqZxRoo2EiE1SiQ0tXYCXLbVl61LaPbrQ7VFMqO4Tywv6rpj9akoIp/l3Lp7izv37jiSRZek6SGyNno68rzBJ537b9u1H87UEdzvr8HnsWhr6Qpp0iuULrLdLicdyJjuOAGaEp7fn8vT73/W8bErGn/pIeTh7f8hQGlbrQtY2fWYCem5FjrlM8b5jbUd9t0Ps6MY9u07rksV/j8efTwmtNIjQAfJjbsezficg6s0ZvS72tl2+LvtdK3fd6xIe4UmcHo8EMwHID1/f/55uPgTHVV0HPD3VaPDZmf+uYRejINJ9wn1fSVxPKS3m6hmQ3pzcA194lMY3A9zpoZxLn+f4+e67/OYPTbY1vbb7+RiBZasZyRGeKHmEw5BIF1gXbhCm03dUBRb6qKkalbESnB0+zYf/WAJWlCU18yOZtRlSRQnLjusRTyWF2uMccUnjxcpx7dus1qd83wleff7P+Le3TPuTXM+/ysPaKoaIRSRtagkwjTaWdymIU1noMAKS1VU5LEiOz3lfLUiTVNOTlKO8pjnz5ZcTxLKWtNMYoSSTphLWG22ZPNj1z5aSbLpKfkkYXE8xzbfAuDea/eJKUiBV165y9Fizvd/8pjr9QZjDGmWkemayNQczY44v1izLWomkURkE7RuSCJJlGQoYYmiKXVdU5Y1Ks4pii2up1yM1posy5wBIAzTtppCWdbUjUFIy3S+oC7XzOcL0umM9fWK19+5y+XzcwDe+dwDvvirv8rrb7/N2a2TtpPocD5DW4PCNhjhi+Y6T9oKg8A1PdRYEKYlDY0MXyw2QFx8Zr+bW8E8tL2n4xM4HdIchCdG8Nc+udbLn96r8fuNC24eGh+7otk3Bl4N3utxuTXW6v73EeRmjEHIIPEOcJ2BIsQL6KjhAw+9ikMW7NAaGApNAiHioDL/owEL1u5a5fuua5ddtrttDyWFo7eD9gvG3bhGb9l3RMfB/kLJDhvv9hPtNbQ9gEwLAWnR+QjBMxl2AfXC1XtPhwX6vudk2vsevje7537brfE1pNxnSYRoc2tCOGyYzNpf4eFxyPDw7Q56aGKogC0aX4vN2rY6Mk3reklcqq/B+J4VxtIY158+m0xJ44TpfO4s2GrJ4u4rHB0d8ehH32P57Dn1+trFLYRBxq7cipGCoqqpqorp/BWIFU/OSz766Dm/9KVfJrIroiim3G5oNgVRlpOk7hrjNEFFE1TkVmQUxRgsahp16+RWcsyTx+eOXn33hDxLePL0gqvrFZt2ndRGYxqFjGKaTUWRbonjmDiOqVLDpqjYbF1wXciGxSTjZL5gPp+TTeY8fvptrDUIayiLAl1XCBlRFVtiJdCxRMWu9lkSpcxnmWtnUFcIYqLI9d7RVqCUJKkbGm2RIsFYRwiYznIX9C8clbquaxbHc5SwyDRHRhFlWXJ2746z9NuX/PkvfYU3f/7nyfOcWrs510dA+rkGLlA/DP73c88IOmKNn1sD+QR4+FxYAmLLcB6GvElDGwMazV/bekG7q2zfzDc78jac8Td5+58oRRM6HMa2mfwi7FI3tOY9nNbt25VJAXCWuqPehsHjEH4KhIMvvulx0MCL2AejDBRV6BEJWgqzDzi3Ql0YXIYv3JSD0UNGodU9GqLBZwsP5ZvPIA4f0dArcOfz1xM65rL7rd+nP79pHD009FL89YJL9FKdIB2O2hoHmY10gBV95debIakOVQ7uQez8HyBMaIei7eQagWwTNf1xQ4ts/LmFOve86yEUt2u0+G176NB7zwJL3Xm1vfHZxt3akuuRFRjrOvx45axERK0LJ/SzDK0rFkcTrp4ZFvdfxWzXVKtr5rMFy+cfdeeoKkd1L4qCYr1E3n6FDx8955/9wR/z0eNn3HrtVb79vXdJiytXFubshGya0VQV09kC6hqRxAhpECJyHTuTGF03xHGCtQYtYJJPONGWi4sLpHTtnZvGVQr48PEjpovbbLdbtutrrq+WiDrn+NTVVavKEik0SZyxuXAsORVZsizlaDElS3OUcvXKdL3l+vIZaMiyCSgwVtDUG2YT50XMsinHiwlpFqN1zeoHq1hSAAAgAElEQVQaykpjjMYaiKOEOE+xkwl13bAtKmzTsDieEqcxuqyJlEBYQ5JGZFmC1pbF2S1miyNm8znL5YrVxZL7b74JwFuffadtfZ0iIsWmqMnTqFU2IdwNehyY7GcQtAmkdg9BeSy3bCvj9J714ykwbi66+M/enl7+rCPPKQwr+N/UgXP1Md794xOlaPzoH6bslEkI2XRCJXzoPlbTalprDUpKEIFON7vCzp8Pi6Pp2iE8xPg84/2C4V7aUGB1Aru14N1xXoR1jvNiRp9teHwPwwnCc/ZB7dCbCo4z6C7ZH69nmLSKOvQaO9w4UDJteR8phrTibp/20rpnaCxWteX6W19jH3S1/1m0t3IDVuxvV7VeVD9X2usSpluc43vvc4d6iE229qJXsO4Yw3OGsIO1dt8bQyIdrOGurr0HixAx1lbtd7Reu8C2hpF7NtbNZyExUYS1mrqokLZkuxWIdIFKEtJJTjKZoZuKyXTBdnVN3WiuLi7ddRiIswUfvP8uTWV59uwJz68qbr36OtvzC6xtYDJheb6irjWLxZyqqoiloC63iChGRzUIELUr31KVG6I4RiAxzZYkdR0ps2zC9XLl2FlJSpJOKNYX5PmcRM5IkoSmqXn83rssjs9QWYxsBOv1ltOzOQCRFCRJynQ6J81ytkVDNsk5OTnjVRSXFyuIUqqqZlsURKdHVC20NZ9PyWOFrkusStHaYm0BjaURBmtcD58oTimNJoklJ0dT4jhGotgYMLYhTVNO793n9j2nJN/++QdOYRcVc2v5la98kdOzMwCOj4+IshwVuXm33WiaxjCbxK2A72kykfTv2c05KXF14PycatGP8ejz3YaoxKHh5WFX2Z79RvP4u16mDOWcESE1u1dkNykZ+IQomrFF70vQ9LDZmIXELkwihg/FCX0vbNwmTqztF1JekIalubvvRy8i/G4Mt4X5Fz0d8Gb88uYxFlkRvsR//114DQY78FTaYQ8pTk9O6JkmA/d7FONx1SaCMjF++wAyC48RejhW4FLIad/FKPt4/wgV92EFE7r01tr+GumXo19shp5e7V5re3wbIWjw7RacrdNW4aaHB/1VhSN8Zv5uPO1U+tYQ1mKDZy2ERNC4c3io0h8vhFIQWCHRpnIBZsDUDYk6YrNZMb99x3XkTCJO3nqb5rtrtJ5y8eQcMUm583OfAeD51ZLIVrz1xpuU2wJdlVxvr7HXF9x//R4SQVNsEErRFBUbsWKSLdDGxVEMFiVipLXUTYGMFCJOaaRAWYvWFkzDdJbz/LmrRhAnE6LtkiTOuC4vOss3iiKOjhekSrKtC+oPH3N6+4yqbPj0gze6d6oxXYO17XrJbDYFoYniBW+9/TpNVfPs+Yp3P3jKxFpmd47J85j5fM5mdYWczrBWcHW5Qs0mLlPfOAOoMAatDbfOZs7wUZL19QqrYqIkIdGalV7xq7/xa0gZcf70nC/+hS85SKwNwsskbhu9QT6doFRba80aDIaidPDlfDL0UDw5IJy/Xnj7lgEO0Nb0RWZ6uWTcpOtiM3tWfAdZh2SBF43hOuqPM4jLtNfZHCTl7I5PhKLpLWZgpBm7fjNohHTQA8HDODR6i9Fp/76+1+Hh7Ws/vDW7467uswhEj8P32+yzOsKA9GHYZfde+n3D3J8hzNXDPuPjDq5gUE7ft23djU+Nn7H3/A7Bhir4e1wFwIq+bW0fp3jRxN8NNB56h2Pl789JeA3+/oXL+B6W0pCtkgnh1/ae/b3YVtlge/bcDd6uwnt5cgSpturO0oKQDsp0x1Id4QVbtwdzcUlrDI11tbYmRwvq7RoZZw4rl24u5McnTO7c5/G3v8vrn/8CQldct8Hqpra8/ZkHTBNFsV2SZRl5dMmf+8V3iIWhKrY0KqGua5IsRwhBva2RyhJNJcgIYzTEsXuGQiBMjVIZxeYSmU5dl8uqJopTrFi78vtZTj6pKMqU66tLZlO3Xb1eE88mjtQT52yursmPZjTVBoCyblqWqfPmlJSun47MOb1zmyibcH19zXq5ZpHB/Vc+RVmtHJwGqEnumphFCVkaUVuBMiCFct6dFa7CQDJ1ZoxS2OmC1WpJrTWl1pzdvc/i5JQ//vo3+fXf/Fc4PjvFSkEkJEJadNNXdHbrUiIiRSpjttvSIfJSuc6uVg/mB7SGS0sEkMbn+PmNduuFDKHZEZQcfJbtOTy9uT2pey5i/9zdlXF7jPdR6GFsgB8anwhFs+8Chf/eioE4EtLnGQhnQVs6hpq3sGUnaAxaKJTdX9/rhdcUaPRD1zqAiOgF7PBgHrYaJkLud1f3jd3AXL9t2/hM9Jb/znGC8wthd+ja/nv3lW09Jh8832XcebgsvH9/7922gYD3sFOoZHwfdMfM6if1y47BghtBqR2D0blb3fX0tEbZ/h0SJnrFN15Qvs2Df69jivx4OIUk+/N2z0N253LDtAJGYkSDaBlozmpsC0N2pAHIck+5bVl/cergYQDTJu1Givm9V5mcX5PNJthy0/VeeefBm7z7o3d58M6nwcZgN7zz9uvMJhG21kTznKoEig1pGhNHrr+MRjslg27bGxeoOEGXG1Q+oTEN6WSBLkusilCJRCUlum2vXGxcQuNkusCypqgrtJFUxiKLgnw2RUmBiGN01SCku97l+RJ76xjbaNQkQuUpk1mKiCbkkxnGQBIJzHbD2fGUyoC4hMl8xvb6smv4ZoQkT2CWTKmqCisk202BkbZr+a0ApERK97wbU1OVDW9/7g2+8bU/4kt/4cvcuX+nraygUFFv2HhFoyLhOhvLiEj0nVIjqSh1Q9YWTlUWmtaIEEbgGalGuI6cpm2KKKRx/RH3Vn4GK0SnUNy8ZJDDZoVLCtWiV0rOSxzO3fDY+zyj8ZAevQigMwfRNQf3+UQomnB4h7K7+fFCDspX+yJ0sEcB/H/svXmsZcl93/epqrPd5W3dr18v05zu4Sw9JEekSIkSJYsUKdNaQtmKBcOxEgMBjAD5w/kjgYD8YQSIgQAJbAQBEiTIH04QB0kQAQmcyILiWIllSd7k2Nopks1lSM5MT69vufvZqip/1Kmz3Hvue68nimcMqIBG33fuuXWq6lT9lu9vw78gszWXWed+uwmr9cV6tL3NOuO2DZPZ0DBsRJN7zDODZh590ni3tfqq0u6st7bLtBBh63m0YDODMaKqee777Wl1ap9Guuow0AqWMp40ezjNS0CiWTvveilbBN97pznBwK/V+hgqglo7UXgbUn80smkzmXPWsoat2prO2jbbkNJso4E1kFvDlPqe0W2m1pTcZ7+Wsg4o9ZUMHVzihKlSapd93DZZHwSqiq+BMIoIiTrPFEBysMfe/g5lWRKPd1hNJgC8/sbHKFcZbz14xCgZEAQRN27dYrgzJl8uWM1LVqfPEKEikCMGo4hQBSilHExmcWn1sxUqGRCM90EKAs+AkxhhBNnqlDJdMRyNOT55QJqtEEFCkc5ASUIZM1/OKIohS2XZKUr29saE4YDCaky1PyMVMBoMq7LKMSJ0JZejOEZKCMMYieXmi7dZrVYsFynzOKAoNUpYTCAIlSJd5YxGI4QSxGGMlQphDdPplKOjQ4xVzJcr8jTDGAjiCFnA933u01y7eYOPffJ7uHrtEBkJAqFcPZvqzEoR1Jm3R6ORKxhnXK5FKSWBEAihSecaGwteuH2dV168w8OHj3h28ow0XWKssxe5tFl+3zrJKBSCsrbLnt+8wGUqTUbiAaBWdM4FAu5lQH4jXPl4LWwtjDcITn/7QDEaIYTDHZsLFbMxtYRYly6ubuksmhB1eoYaiqsM1ueVKV5XGc/TYLYRs01DeNvuUaVOEbrKgroJm7n7XHR/23ts4/lreK0zwvmyq36Mvp/1cYtK81mDjERVCVQ7WE1U34kt1UDrOYJjLtYlCawLibXhtI15eobkNTFB3/auS9la2TCdjXsqHFvQERI24o4sFQTr1qBdXVMSYtCtMTQaZ2ftnIrtGGWr5k+T8aCCkqx1RvuuHl7ZN5zdUGo3ZiktxrjMyKKChwFXkE4IpBaVNuViaSw4TVJWnFG476V07+mdN7/D3t4uD75+n9/4v/8xd159lRdeus7B7bsATGdL7n7kdZ4+fMRb3/gqR0cv8vb9+5w+3mN3OGLvypibL72MkoYoiQnCEGs0SlSMRgisLRnsXwWlMFX1TytdBL4wFlsl6ByNdynKM64cHhEvM54+fIi2BiUUJQXZCianZwgVsNoZO/uRirDCMA4dWdrdGTE62EMNQvLA8OjJY6wGk+ZYpSj0kjBOiBEMhwmjUc5wELsSB6sDiqJw3mym5N5rL6O1Jk1TppMF6JIovoKVMau0xAqBNpI0Lxnu7/Olv/jTvPrGPQbjodM0K8Yi1oiyVA0EG8YxQUUT8jwnCiS50WRpRplrEIZ33npIGIZ87t4niURY069lmfPO03f59pN3eHL8EGXdma7PAJu0Z+M8VPCZEE0qGUGrMFnPbzbNAE2NqvNMOht52S6w/7zvjGZD+mssULiU9QCilm49Ts4ag/EiqbVN4KB3H+1z8b1oPNu1C+rv+9t6FoFWXI+VW/ps220cY9rmeSbEJmZ6GUjQMaW2XYKqD2/n0ZV7ePWsNeK+XtCsvc5+BnWfa7YZ23KHbtzIPTTXr1016ytp24U6TMv/vY4U9sFZplW1o+PhZnrmRkXQPcu1lY9cwzjb20nbyrXTNpreepM0WoxndAbH+F1eq+47dsxf1pE/TUfCebC1rnnmPRoNCQYJt994A/t//ROePXybt795ny/8zE8CMM0yDgYJH371wwwDydnpMXc+8jEef/s7sKuQMgBRosIIFThNRoQKq8ua6djCubmbokCEiiRxOda01pR5xmo5p8g1eZayWCyZTyfkJcgooVzMMSYny91cVeRsKJPZlMFoj0DmrsBYtbi5Fjx6ekYuImaLh8xWS6Kq3o4ttYOxhESh0GiUkOzs7ZKlzjVZ5yv2jw4Z7o54+5tvMhjvEEUJuweCeDRgvsw5PpmSl5qy1GgrCSLFn/iJP8VLr32YJEkIq6DL9TLzwlqErTKNVPtNKoHRgDG11qOXGWVWoqKqXIIxvP3WQ8LXf6DZrwhGYcxrN+/y2s27PJgcczI54WRxxnQ1Z75YUBZZFbei6zNvjMG0BPM+ZwCDrtz8ZS+9WE/UWdsJz2Ec7e/6bLl97X1nNBuGdjxGvUZ6RCPhuxIADX1pkXIntTauT2xQoXPaNry9vZDtv7uShRvfOqzWdUJo2zu80WDdgC9YJ7pN/36z+ySaYlN6P+eFr9/rDdNC2JoQ19/boAMntg33tf1i7VHCUlWxbD9BbNzj+2jS8GzO97mEA5q33C/teYm0Wjvv4int5iT8mjgMq9ZUAtsAlm1G2s54ICvtrhOourEOph4HFRZvjdeKDcIGdG1W7ezSoKzCKgdZrJu2wuGAPE3Jlimvf/IN/un/8Su89LE3ePDmmwDs7F9lHCmu3Tji4OgGf+e//5vcPLrJCy/cYLg7ZrSfkIQRYRgDJaU1DJMdrDFYnSMDhRUu11gYR5TGUBpnX9C6REYRiTwgO36GjAYgFxRFgZQJSlr29w/IsgwhCwwBwmpkEmNyyXJ+xmAwcnMPRgA8mSyxT5c8OPkuw2FCGCniiq5bDSaUhFKiyxWmtEQqJC+WKGlJooB4dBOrNUjF9VsvMJ1OEbpECVeGeqU0yXiXSXoGQiGl4Hs++6N85Hs/xv7+PlaIOlln24YBlYt+lS+vLfjJQGALtyeytHBZp0Mfw+e04bI0HGdTDuPd3rN7e++QF/YPa2G6xDJLl0wWEx6fnfDdB98hLXLA2Xk0BomttGm3t7UX6FqUsnZ085lLapTDB7tbsNvCDLpjXIeOP/AazXrzcFdQEQIn9bVhENlIlbSIHp7gGISRCEnliy4vRbC24e590Bl0F7qRAvQ5gZ5tuEyybrNp3Jbb2s26jOK9Uqo5W9HaLJebY/dvL6G118jDWuvwmp+L2ZB41j3M2u08W0kT5LXpdOAhU7wWYNv54tZWpefaOkM1lI5pCup6ILLaW1aArA6YqwsiIGiYx/rc2t6FdUwRzT3bXOjrdWpp2r4X8MXxSuo4m+rdeLuQG4fPyUblbu1FE9fX9PSMIit45Y2PcOflO/za//KLjG85wn398CrKlqzSBbdefo2DwxvESjK4ukc8jEniBInBmBwZRgg06fQJ0egAoQKsKRyzsRpkjLA5Nk8xIgTvUSgFxsByOkGpkCgIyXTBME4oyxIlBWEYk2YaYwRBFFNUa2KEIQxjlss5AJN5wcnXvsnBwR537t4iFKBtgIolSOvsMGWOUiHWlpR5ShBEWFkQJXtkhUbbDF0sGF85IBoOWcxXlMaSZgXD8YDcZoBAhhG3X3mRz3zhh9i/ekAchGgLjWnNxci5dyGRLUGzEc5ceZKi2n95kWJKTThMMMYVPbZSoJQgkh4e77NPVnSw6jfEcjAYczAYc/fqLT798seYZgsmixnHkzOenZ1yOj9juVogjAahUbbRea1w47JWOoHRrNOVTQG5T2C77LW+9oFjNL5p0ZKmO1pFD2xWNev/9sKiA+8vRYgvUge3LWbbOwnWsw94DWVdG/A1T6BhJh4u23TpbVpTgMj1pWsbjZv6eeprQ6zXWzuos8mh1GYQjfNCe871721DRNuf/Zj67F4OymvG1hw4P06PTTdxPv5ZbSbVOGB0ff3bY5VSd/aJkVUqdesKdNUxLEL4MJ8Oc3FGetthOm3bnJ93O6eb97ITospnJQXSViBcfTgbrbaBIFs2OOHXxlQxR7LD1C1drWY4GBPeDFitlgzHY5LBgLPvfAc1PwZg8t2vs3d0hBGCt778FQ4ORsSjAVEsSZKoZmzSGsIwwdiSMNnFkrtjFUQoFRBEIdYaAhWh4phs5QzpWpcYGaDiBBnlsDxj72CXxaogW8yJRyPCPOd0MkUJUGFIljqPtCBKXMG0Fjw1n01QylKWIx6++4yb1w8Z7gVYJTGlRssSlTgPtSSKyTCgIkxqQFiXkqYwROOrZEWO1tp5opWWcrGiLCxCSVQQMQgln/9XfoJr1w4JYud0EFTv3meHrjVX2S4f3oqaVwp0TlDBUUWuiQcJVghCLFpJAqW4e+cFdoJB8+L6WvVeveZf3ymcZ9pBssNBssOdKzfxziaz1ZKvP/ouT08c9FbmGYUpKhukAGscKm67ZxFU7THmbaZuTt05tt+NP1vt/89rHyhGU8v+QnQJAxBWsIRtxbrUUt8arFV7WYjLwy++bRiu12wD7Y21Ka0bXGXY8wj+tu+7XmjNNd363O2/PZaLInPXY2v8s3zCT2tFpTa3nRhsPa7mWZuultuyafTZVbpz7K5d9//2fLrxSN33XGk5W2bdvs+N1fdV2fygPtDOVb7bUzsjQD3X9rrTPNwdTdG63hxWax13qAuwrbmPu8sGK3HOBFU0d4moYnZ8ShzHlLwm4zwrgUqbiJMhQkmKLCcMQ177xEd59Pu/A8Di5JTbr9zl7a9/g5N3HrB/5DIMR1HAcGcXk6+w1qIELoGmdWn8rUwoihShVAUlKpdZXZeIKv+dkYKiFGTzKdqGZIsZQgh0UaJXM8pSk2VnqCBhMBiQTyaUhQBjMFIRSrBFioyGRMNdwHnVjUcjx8iWS4p0wc7rLzFQAhkqbJG7VENJjK3XQSMCF+dihCGIEkxZoIyixKXKybIlBkVWrlgtCoyAz37pp7n98l2CKjjUaVjUJUmkAoRESf/umlafBWHRwgmbeV4iwwCUhFJjA0GoQoa7O3z4zu0LaYTfU5ejJa6W8N5gxPff/QjcdWmfpqsFz05PeDY/5XR2ytOnTzCmdF5s9W9FBe/7APNNAXcbI7msNgMfAEbTkXT9/9XYrXD4dSCppUQqVz9vjK7wsw1mQ/2Vg7Vc2cD3wgCo+23/376/nUl4026zjQG0v2u0G7FmqO4fY5O92F+7LHy2qV04z/t4ELOYTZlN5hxc3ccDMuvzX/8M/Uxm3Qmg1g78u63H4WHE7Xapba1P49wG0zVjqBwQKucSYVswhV3bPxZHwEX3ml1nPB739gXdrN8TnklbBD52xzEN967aLunOFmSqIbrgZF/WwlaroV3BLIcqtwQyW9s0rTCEgyFSSvI0ZfbkAXHsDNo3bhzx5FvfIJ+esDsekUjJtaMD4mFMujgjjGOs1i5/mXap9gUaFcVYG1KWReW67uIz8mKFDBNKrZEyIMsWrKYpWuS49CoV0w1iyvkJVihkZUSPkgHkOYvFgmSwQxyHgEIqA9rVd3G5xgqSJCGJh6SrOatlRhBIpDLIMPQvHyEFRZ4SxkPiZEg6n1ShXoHTRCttsMw0RVFSWCiti+X51I/+KK9//xvEgwgpnFeosBaMs696DcZ5ZDrf8nXpvr3XjDYsFguGYexgtMCdayEEsZJMlitM3M0Ndlmnnoua7yMSisPRLoejXay9gxUwWy05mU95NnEa7s5wn2W2whjvaebgPIcWBHWhtfX+284Ilx37+85oOq3KV+KxUACpXApH4w20LdfTBuTBbTbRlUcdp67iD1pMZpsNpk2szrPTNNe8gd4d9vW0Es641mgF7ne2dU9Xiu99Wa04ki6UtX5jk9F4c5z1BBtJurJf/d2//Rv8yi/9fRbLpSOBGnZ29viP/oufZzCI6XrEwbqNprcIW8uWU19vQWntTdrHTBqG3axN39z6+l5vPhZIyqDeQ06LqfoVzkBbu8/TPTg+wLSGMtYe0Y4tav/t7TBNa3kjCpfLrBp09b97mBIWhJMsbZV13ENkSkh8ieEGflwnBAqJQA1HhEVGVhpm2s01GcaEWhKHCcvJMVEUMDl+xo3hTYajXYywhEFCvpyj4tjZZCpmGYQCUxqCcICMYrIqK0FRFFgrmE1OmZ1OWcxXrFYrIECXnmjBeP+ALC1IVwvCZIfIWCIZcfXqXYJAUhZ5Vdo5Rlflh0c7Y0Ll4otW6YJ4OOTRszPOziZcO7rC3p7EhhakqwWTDMZVeWZNGI8QuUuUKYSgyHOkiinNnNKGLJZzJicrCiSf+9M/WRv9/buzogm6DcOwZgqmjt6vjO5adwiuLg1PHjwmSmIK5YocKhWhlCIZxhgEo6oIm/uRe/d/FExmW/N0cW8wYm8w4qVrNwH4i1/8s/W4p8sFbz15yLvHT3nn6TtkeVqbAbQv2FYHaVfBBz2w+Lb2gWA09WCFwyOtaWsojnj7+BGHl5+LbraabB32y8S8XjC+tc+utZnEGvU/L8hqLVvAJoPwFKut9TwfDLj5zAaCwUqyfMXf+p9/qeVI4aR1rXV92NuSecdWUjGYdXdpR/zkxvX295dpl7mvd5N31tVvI1dR0dk/3Hq3s1DbHk23z67UtPP3kTugm79tZ0pw8kcjPNnKtiPr8XtvIS8Y+L7a3noNI6yFLmvRWAIjCGWJlZDnzg6S5zllWVLkIMI9CGMKXXLy6DE7e7vEoxG6yNz7KzKCZFDbl4JgANZBesaUBMmAfLkgTsYsZ6c1IQ7jhNnpCeODI6Ynx66OTRCiVyvKIkOqkPn0MYgAKSJ0kVOsMrRQGJ2DComUs7vM53Ns5WlpdMFRlJDZkkhFLGZzwkHEAIFSUOQZUkWYMsdYiyWgzJbIeIQyEIUJeeGIY2E0q9SQac2P/OyfIQzDBomojOhNJviux2mfraK9ZyYnEwyWKA7ce1QQBEHNrI6OrnJtdKXZT///8ZfnanujMW/cfYU37r5CWhZ88+HbfPXbX+f47Birs44LtBDWuyX90UJn9+7d+0Hgr92/f//z9+7dewX4m7hT8GXgL9+/f9/cu3fvPwS+hMNB/t379+//P5edZEcds+WG9mFMc9Au4qBdJuSTIzYEto949Bn/18e2/pvzmycEm2on2BYxdGOsIaQqdmUzrf/lX+jzjPPp42fVMKvcsqIia8ZgSi+9eFtCpWV2jNjVWE03CNKXZbh4TF4S3OaHv8ngzuvP2WIq24vx2lt1r8VdF4ARGAyu+vSmV9nF4+46bazvKe95KKW3A4kGovM9yLaW5tSsxgGi++y2G3iz/5vEn7Zzb5U4VBhEusSkeW3mS1clq1VOma6Ih7sUWUGoJKvFkiCQqDgmiiKMlBhp0WUKKkTYAFMWREmIkRHZYsJquaSqMk2xnBIEI6QK0cs54WCMsSVR5DJizKbPWC5XhMkeorQMkl2K0tQBlM5rTGJtTKgSnk3cvjybzFyusmiI1QWnZ3MCNPLKHoNhjM41KhpQZCVCFNg0r7SbuPac00WOUgl5kVJoBVJRFgJTFrz6yU/wkU99wtlkdPOC1uP0PGPxxNb0eG0BZFnG9GzG3sGu00BDiZIhKIkMFEmS8NLRC+yK4fbN9j60dVtqEoS88aEP89EPvcQ7J0/55X/4d4GiXodGyNxWPn6zXWRB5t69e/8+8N8ASXXpPwP+g/v3738W92p+5t69e58CfhT4QeAvAP/V805WSueyuNVw3CJkmP5JteEYH2eyzSDdbufBZNsZW3ezdfuwnFtTpiNxN3BYU6/GN3ffecz1Msyx7z6LZjVfNH8bF9nfZr6ulfi5BqLRVAQGQQlWu/iP53K6aN+/LYi13fo1pO4cW2ttu15BHh+Hxn6CbMFXa83vm8218N9tOon0/d7aqqaMlXVaHv+vLjnQko4bo3LjEGGt7kjRzfMqO53uBtvVTgoWinmGLRvtNF3mKBkTxiOCIEKvCvL5EpsLpo9POX3nEYvTCVYbpAoJgwFWZ6gwIoxilAqhWDEYjAkFjPb2EEIw2DlEmwKrDUEyJhmMsKWg1C4AczA8YDy8itQOUg2U8+qyQqKtcYXLipTlasJiMcFWQg4yQIUDiqJAW8HbD9/leJGzzA2TxdwFiQJSRWRZjooGFfNWFVQqKbLUxbKICGstZWHI8xyZJHz6T/0Yg8EAU8l5UgiEdMk7vV3GMxhvr1jXaMGL0VwAACAASURBVNqfnz54ShQFhJFyNjvpNBqlBEEguXb1iJvJlUvs9/e3+f2rkLx45Yg//dmf5OqVW0Qqosmy0j1XLm3QdnZyIaMBvgX8bOvv7wN+vfr8d4AvAj8C/Mr9+/ft/fv33wKCe/fuXXueiXnjfptebbiqCoNBuxTadjP377px7bz/289eV43bbZuavN6stR0C0d/Wv2/7rnehvT6Gt/W5PfNY/37j91bWyQB9wKCXxo1xVQXX56KxNaFtE+nGTtPWxvq9V9w/0TI0XuTlsu591rTOGgnHENffl49t8uODFtxk7YaTQvv56xH+50Em7c9CdsdvaoixO36fvaI7qUbgaDO07v2NJujH3rYNuX8arEWXJUnlAry3f4UwDBkkI0SekgjlshkXjimdvvOE6emM+dkEXWhkEJCMDpCqcvUNFEGkyLM5g70dhISyWLJazkBGIBXFYoLRGUU+Z7hzBSmhSKfk+dRBcjonL+YESoApXLIlnaGNIQ5dcbPh2HmdqcAlalRhgEWQJC4eaLpYYmzMdDHnbDpnOl8wm83I8xRjBat8RZ7nLl4kVC7jtAoojaUoNHmh+dQXv8jVo+sONvO2B7eA575jDw0HVeaEdsuygmRngJSyrhoaBAEqDLh1dJ1P3nzZvc+6+/cG5f9RtYvomvewvH1wjT//uR/nh773hzjcPXICB+Dpl7QgTf9Z9k1chojeu3fvLvAL9+/f/8y9e/fevX///q3q+o8Bfwn4GnB8//79/7q6/hvAX7p///43L5rrhQ//4/bH7Y/bH7c/bv+ytF517b04A7TZ1g5wBkyrz+vXL2x/45f+Wzc6IaoUHA0nBXrwc4MkrLHojjtq5V3Rlzyzzw7T56F1ntfWz33h5/iFX/uFjWVobEzOF13KzWVt24n6HQAaV9iuq/JawOIWm1GfOv6vfuZn+cV/+r819/raPgKsNnz1D77Mf/nX/6eqZLB7RlEUxNGIv/If/zvcvnNjcwyVJtl4zTSOG9jKxiA9bNi09fe0rolZa/nS932JX/6tX96YW9PWy8U2a9a91rJ7+We09tU6Cqes6KTO8cGX7YBN//z22D7/+o/xa1/7VTZbFw70Ls8GC1Ii2/1Yvx7t99hO7GlaffZpp269pQVU44Yb5Dnq6Vssjk9ZLWZ88c//Ff7hL/7nvPPNb4MUhMISxyEyjDj59ls8e/SYMojYv36ECiTJQBKNIobjAYPRDsn+LmhNkS0qOGvFsyePCOJ9ygImJ49YLQtWiyVlnlPkGl2WhKGT+ss8wxJhAF0UWOM06mVpmE7PECrCWkGhc7Ic/tbf+13+3J/8JEYq0jQDrRnu7lMWKTvDEaNIMBoPELpgOBwy3Ek43N9HKiiKjCgeIMMIY2G1WjFdlDybpKys5Av/xr/O4Y3rqCp5pykbOMxUDgFtiEzrBr6UFazmIbU8z3n2+Cn/1k//HP/D3/vfCcMQhEXJgMOjQ/Z2d/nE0SvOY7DlYelSvkjn8cg2G+W/uLaBHm2B650dVPBsOecf/d4/49sPvlWZLBxq8PN/4d/u7f+9MJrfuXfv3ufv37//a8BPAX8f+Cbw1+/du/efArcBef/+/WeX7dBPSCIoMHjkwRMF5yHk63IoZzut3lkdSyAMAhekJelCIevPOW8M3Wve6N1sEG8MW/+dI+KmQyj6nBFc6zNut5Mq2rXrTfMb4HmdAxyxa4IDnz17wvx0hgwkpizJs8KV3Q1DwLCs3J3bT2lm0WQoqAt3ec8p6Rlld7ztdemD9tbbdtuT66e7ptuFg/b8rTB1qhl3nxt3t9pn635rexjb+QZh1wzCqk65BCt8GFezN/xrNliXa9S6/dY4MbRTEbkSDzVMKUoEFYRhnDdVnczKWMrFBD1bkk5mnD5zcRNP332H4U6CEJZvfO1NvvF7X2Y0GrF/5Sa5VuiyIH36hMFgQLSMEGcroniKEE+QSURZ5ox2R9y4eY1kMOLg8BZnTx+xTDWF1iwXE4q0IF1mqHiICAPy1DGeIBqS5gukcraSVZ6S5yW6tIx2rlCkGSUCSoOUbm2zfEFZlgTxDqUtWc5OONjb5e6daxweOhgwn0wxSmGLFG0Es9NThvt7WBFgrCTNc0oUp/MVV+++wg/+mZ8iHo07zMLvciEE9NhilFIdm02b+aSLJTujMQC747GrCBolBFHIx+68wrVwb40muFZiwWhCITdy1r0f7TwBu3O9ClA+HI35mR/+AtPiB/mtb36Zr379a2RZtrX/98Jofh74G/fu3YuArwL/6/379/W9e/f+AfBPcKv5l99Dv5W7adNqTzS6HkQYC6oVM2O9BG0d0dtCpJ63uef3Gf3XMHkh2HRD9lKpy0BtDOvFQ1utYgBSb3gdbRv7e5KARBPsqnNNaQ2BFBTaVuVyJWWpQUCe+7fRMkzXaWmaNViXshttbF2r6Q++fJ55NAxM0mZ7TV+KptxC+7mqmkFD/F3OMdfftkO2rnn5dXB/b2M0jR3IB2rWMWDV2I3wwpRn/L6yT3vvNPvPM1j/TLe+YeepLl+bS6djnPrE4tkJx0+ekufO3maModSW3/wH/4yH7zzk9gs3UXHC2WKCthYRhojUEiYDssWMKB5SVgbfYnVKmWvOTiacns64fm2Xm3fuEo/3yMop+eKEIAhJsyXRcIfZ0wcc3X2ZIlTMjo9ZLufIeERZFujcssoywmhAupqT5jlWCLIsozSWQEX1/IejPUfsRUiernjt5RcZj0IGg5gyXWGEJghCspWzN4bDMTII0EWBLgs0iiLXMIh44wufJRmOkUq5+a69b+8tuK5tt5lMa5MAkKYZwx1nOyq0JopDZOAEsZ1o1CIVXftxKCRUCMz7zWSeq62NdScY8LnXv587L9zht/7g97b+7FKM5v79+98BPlN9/jrOw2z9nr8K/NVLDrdunRdobSdZnZcqO3CXy9HRDczEn2Gn1m0L4LvINXr9nnXi0nffJpFyBKOZlyMe5zOZStI3im2uzedBZJeZj2gTNuHyN0nr8jMJ6WAMGUSuNry16LwATLXOpo5ncAejGzC66RHWaH/r155n3H6s3daW8tt9G3xNHmu9htldg/Y6XpQ25+K23eHDrbcvlKaRqKpkr2PQcs092j24cnlvFbZrYF+vyawPtinl4BmZI5YSI0MWq5Q8z13FRiA3ll/9P3+d1TLl6OYNRnv7PHr2hDzPKbKUIAox4xFyMGJ5ekIYLQliRTwYUOYZi7lDw6PpkgffeovPDEeURYGxmp0rN5menTE42GXy9JhwMKRYLAiSmJ2rV5lNfT40TWFcqYbJ2TEWRaE1xmrCcISwJaqCnuPIlZNOly4L9MHBVSJVEqqY1cTF7uxdvUKZF8Au89WcfDVHDm6BkOR56ZKQqpBXP/0Z9o8OqwzUlTBiG1h93WnGQ/Oqldes43Hm/ze2jrmxGMpCgy0QiSCxwXbNYJ028S8Xv3HNRdMY4O7uEUc/vMEW6va+B2zWxEg6+MJY4WIMWvc0hLL62/+2+t8XXbrItWDdPrNdUzBbmYwjVpKu1LzemqJefdBQ97lm7fP5zHE7Ae5vG4yQSmY2Lg28L3QmpUtUaIzLw/C7v/UVPvHpjzg7mNcA/I9rLW69tsvmGnfn0W+7ef7WzYLgczV1bGAdO5Yj0h4Guyhu5rzn+v4vFFhEV4Mz4KLsRQOZeUbhYU2nAbXX09tl1j2hKkZlffkD1YpYB4xFJjHLbIkuSmTg+nzza28yPZ1z++5t7r7+CnlW8OzNNymyFVJKEikhzSlOz8iWKWFasL83ZLlwafTDMEJrzfz0EVaG/MFvf5UXbh8y2r2KNitMWaJUSLIzQqqYdH7KMFAuKj6JyNI5QZSgC016dkxe5GgDq0JT5BYpM8LIxZuAY5qL+TFWw2A4Zn+sOLh2DZAsTp6yc/VqVfVTkq0WfO0rX+Hwxm0G+yWr1cJV7CxLcmv55Mc/WgdmUnlKeVvjtnMqWzTCe7m23Z3TxYo0z4hWDjIqs4LMunIKQ2M400uklAxEQFiR2v68fA72f19bvSef50dOc8usC5Idi3jrne87o/HNQRkahHQwE8LVpaaRPL2NoY6SxhPNKkCO7VrL+jWf/befMF4Uhb9ulO6/p00MN1vXONg3Rn/tIk2sD/pZPzhSiCpi2mPRAmGs8/mvf1PdbF3cil9fF2xowNLkBYOqJK4n5A0TWbcjNUz9vcGX3Xk19h5rBULqNeIM6wy7KadwXrR/f9t2zyZharQUPy6vbbjqmhZLWcF3xu3lc3msrPuqnkizV9pxNlBnu67kYitARBF7d15nYr+OWbp4KZNnfPL7P8HrP/5Fwr1dfvm/+x9ZrJZI44qdlcZSlrnTcIrMJSAVCXEyZnLymJ3rNxjtXaXMdynLkvnJCW9lcz78sSFFkaJNQZEX6NJSlCusdIwpiBKikWJY7JEuVxTZnOGV6wyNZjabEVnFZDZHKUWUJKhqmqt04YzrSnP16oC7L95icXZCMtpFyIBimSISS2kNZVnywu2XsFYwPT3DioAglgTJmNOzGcPxqLLLNOtrjO7dpzVdqKCt2hW/hWJorXn04DHjvVEjwAiXU00iGI6H7CsXmDkxK+bFlJGM2YtGPcymL9aOf7EqzjnPOm8o1lpCJCcskVZsZTbvO6Oxtkq8WGXVrbPlOusojY2mIm44fFx2EhKKCs5ZT0q5vV0OQmsbjtv3t+qj9DKBdWinbwAe9jg/ceR7IY5tKMCP0bTXChDKQWFh2F9N70N3bmxssI0nt1IFrTPMzT7Pn+dlm7PDFPW7sUbgayM3S9Nvw9kYvrlYYOiu/3OM3wadBJvGVpUxKybjE+C0x2jQKIL6Of1eZmt557wnoTPSOK9LC0IK9l57hSAOsMsVAB//yZ9i//XXGe7v84//9i+xylK0MagwdI4gsqojagriOGQ0GDAaRCTDEUfX9kiShOHYeXNl2YoH7zxmNZvy7nfeIhwkDK5cZ/XO2wihSBcpQRCQpQVCxWhdVERaAop8cYw2EqUCdOHsUmWpUYVCtwg3wP7BNcZJjBoMKRZTooFBKIXWmsVsjgwChAoZ7SaU2iJUQJZlFNqSp0vufv+nN2JeDLIqpd01/ntG0geXtT3SVvMlWZaxp3bRukqxH0iUARVGHB4eVgxFsCcH7MUDHqYnvHt6wvXhPofxLthtGg4fKBxt21COTUqJZiAUIJiQMeYDymg8FuqEUOky5SKc+t8zQ3+QbOWFJq1xloQaRhAbRBa2azod3L7+vGnE3jzszfgv+uwutNPOgE+U2e9p1vrZBXambYzHE9BNjaAJugQaOKF1rxWQpnnH66zWbvzn1qH0sJg7kNCnpdkOI3jvralY6teuC5M1963lBOt5/31M5jJ2PNfWmVgXArUWlFRVJRAHtTr4rGKQBPjid22N3TlcgBdmNh0eRKUpVznoOtBzZeYRyglCgWL35VewhXvO9c/8oMvqvExJ50uKLK+gU8tokKBkyXg4ZDzaxZQrrl0/4vDmAbt7V1Fh7AqXWQmBYmAMOhOcxiNmp09Q8wVBEHDl6DqnT05YzI7Zu3KLwpSY5RLKgtViiiZksHcFO52R5SVZWVDkGYFUlEYzn04Iq2zTUTxASUgGEYNBjF0tUYMBSAfHOW8258VmsgIRCYwuyZcr4t098jxnJRNe+9QnqpT/rZpFtj8zcfv/DbsN7gxorTk7OWVn1zkBeBsYViCkJQ4DZNh4kwkhKI1mnIwoAsHbZ08Qe4KDaMx6BdrO8/4oDsx7bN5Grq1lQc50tSCWAQPlglAHhIxFyAOzZFK6oOggVGyAC1V73xlN7Z0lfbJHR+g8bNbeDK5GRkP8rNXO+C+9YU5ilK1Z8DqR3YbFbhKXttdPV+toICC3UTuV6drMxHsl+b87hcO6HkRN1PjFkcKX3Xzn2T6stQRBgDElyTB2WmMFP7r/4fR42tFo6t6qNfTfGa2bBIT195cbx7axnQdXNfCHqQhyYzxf1zj6NJbmXflyzmv2v+q6j6Ppd0bYfFa7+d+4WAmFsU1NIa+dt+1EXUcN/4xuzBWAkBqjvWt5m4HbOh7H29B8aQNtDQTVWLXBaEM2n7KzO+KlV+8QScvOMGRvZ8yLt2+zc3CF8eEhYhCwWCywYcKbX/sOJ8/eJAgCbr54i+s3b7J4/A6LpydQCAIbEyU7PHvwmJ2dAVcODzmbLJhOjlHxkIASYSzRYA9jNNaWhGGINaKKeQnJigVSxsSDRsOezyaMRiMCSnZ3x0TjIcVyQcGCeLSDtcaVVtCaMAlqzcxIhZWCYPc6P/Xn/izJcIwwtoIZGy3GaLd/CRSqZZd1SRW6DiT+f60Lnj1+ynA8IggCtNb1WVZCgJLEScTp0xMe7V5FCMHSapCGmIiDYMiLhwfNvurBpS4842u/ac7MJmrQd558MtmFcQ4/uSl5d3HmGImIuDHaQyJ4ls34+sPv8PqLd3lhcFAzRSvg995+kz/8xjd441MfYWdnh+lySTkr4Nph75A/AIzGH+4WFOXygiLWDrsncNJWwXRSYFw+GgcfqBZj6XmBHaYlZWcTnT++ZvM3Rm3YeKmV15gQtteDzM+1Dc67/qiIx/qabEpcl5e4z5uPx6ID4ih0pKy6pqqCUWmaVnCk0xSVcTVPqg5qK5aQLW80NyHWF96P+49CUmtKZct67brvsYFPOxpca1hWgDJgfGxpq7W1uvXxtj2/tr9b32QrCanD7b2U6Povqxxoa95nGwzM1HvVmiYbuYOLq3LgbeHGNozJj78mENU7KAvNSx//BHfe+B7e/sofcuull9g5uMJwMCAMQ7Llgtn0hN3BmHe++wBdrPj8z/wkq+WCs4ePCBTsHRwyT3Y5fvQWBzdvsHt1h3QcUFrD5Nm77O8PMGKfs2dPKYoMGURYLVBKoWRAOjnFaEugBNIqgiAiLxojPkAyGDFIRty+8yIHewnxIOF4MScMI2RZkCQReVq4IMooQgYhZbYgjhKm8wWf/IkvEQ0SXH4u9+7aUJmpPMZknTVeYNEgq61iBLUXYWWXyfMSrTVJEtfvQUrnai5FgFDOk3MwSngyOyGIE6cJGUgGIXErP5jr4BJa9DkYtrXWmRqsrYJC135WIUYWy7v5KdPCeSJ+78Fdnq0mnE5nTOYzPvfK93To7IKcN5++w9nZGemLFoNEtc7E6y98iGkx43f/+e/z8kdf5vrRNfQy3zqFDwSjqQmFwEmaULGayqPMS3+V5GekdTi3tSCqnGei8rqpCcHlYLLLOA+sa0YNo/A5tPx3bVW7v+9t1xCb0kifkf+8v89rHUgR6uwFURKCFNQKpXDxJukqb2ljHRWluq/REKVs1wuizUeb+bG5pueN//mYktdq+rItmHpe1PMXTbS+sB34Yjss6ctZX64suKjW0UN9xmfthiqYs+WWfJ42KwymxWDa4/FOEHXWPxs0e9ULbsJJsO4nFmsMo6tXUMIxuSu3XyCII5QMkcrNeXztgOB0h+zshMMXNFdvXkEKOLh6heL4CY9/+w9IoojJ48cc3brB/q0DgiTGTpZII1mkTxhdP2Q5nbC3t4MxO+R5zmQyo8xShuM9dsfXSPMVWZaxXKYURUaW5igV1ytx9coun/j4R0hCSRCGjsCPRw6+VZIizxBCurIWQpAMB+RGo0vNtddf5+j2rUpzdQzD2VKq6qW6Mvq3Evk6e1fLG1WCKRXS6npM88mM4XCIENYJudC8G9UIcUIITFlSmiXD3T0GMmFXRMSiG//kfn/BHm8zFkAYixaWqc1IbU4qDEcMGYp4A4Gw1lJYwzv5CaFV3Ah22B04J4U7o0M+NLpa0Z+GLhaUvHn8LrPJFGkshwwIPFUWTY3jK9cOees7b/Pud95heTblpTt3t07hA8BomtQa3kRqcGqoTxboPD4AoaoFsdCKkzCAsBblNZ2etk7YamlPrttf+lo7M4DuaEPbmuhRqRqPqUYjqj22zqtdszbm89p58KDPotBoZZI4jDq/c27OJcvlyhmGhXJQjFxTuVrjqTWa1obtG0vfuLwa/zzz3BQYGujM2TUaKKHvHRkq91bhmI5nkuv2ve7z1qHP7dqmf7atyi43YcjVXhOewZgK9zd1H5uT9cyjyQrgn611Oz5LrgUcVsGotv2eBEI1glvtUGFdpDs1kVQkBwdEoyFZlmFtQbZYECpBFESU0wXffvP3OXr5FXavjolHMVYo9vYPmU6nhPGQ+emE8dVrFPM5aZ4hy4BQBojBDqfHxwTxiFK7Cptl4bTQQEUUuuTm4VUAXv3wCySxAGMwuqAoCpJkSBhFpPMFRZYThDFFliOUQqgAi2axzPj4p3/AeaxZizUlBo21CltlsjYVKWkb/vveO9Jp8tZYiqKgKHLG43G1pu59q8pNTirHvLz7s6/dU64yBqMBwzVD+aU0GdgwBTywE+Z5SpnlWDThcOSSlLbOn6juP9FLZiblVnRA0pMayzliNem8cgz3pw95+vSpE+SBSIY0kYtOwFciQCnJ6ZMzrt26wu7BHl/+yh/y6qdvbDwDPgCMRghRhc1XdWdk16Pc0MAyzj5ja1XUn33lVJ+K4bhrF0nE6wa/7a0f99zW33nNwWr+r/Pdms/rexszOU9Dqxlqi8EKoVGhy92k2+nmkRRpQW1o99CXt2e0NTxa0pMUVSbc7tpexPy2BU+259VAZn2tG+RoO3vAYKs0H7XkWu0jI4QrLezHsDY2399lWhda9fN3IHAHP6/769dguu/PaTqeyfm5eWbjmMymt18D9bmj1Sy9qcJvHFFysoZze5dCV5pTI5HLKCYZj5g9fMjq6RNOvj5lNTnj7PEJycENrt2+4mJmpGQxO0GGAeO9AbNpxNN334XK/X01PUbrAG0tQRCzf/NFTp8ek6cFKt7FiBS7XBGECqEiDioj+2gYuwqbSUQ2O0GpGJ2lmDxDRTFRGSGCkFhKrAqYnTxBa7j6yssM9/ZqqMwlSpCu5gyiCv0yCNEfULnuBODbcjavY3za+6NZbwcNNu9fV5BgSmrLDeHzeTWZwhoemSnzbAmmdBVQg5APBftEdJ16fIG8RAbsyX0CuWml95qMc1KxzG3Gd88ec3p8jLDufNi6nDj1QfdQeoirGvrowTPiOGY43l5n531nNNbqutCZd7kFGqmrjdrU8JLbJC5osjqE2oJsB+3R2QDbiNV2qWI9kLJpF8Fy3eDBbU0CJcZUBbLO8WTrG+NFY+j7zte1r64ALp25+12Tl01IQ5Y5l1hRVeiyomU0F412Y9tjdaAwAks7duUix4QKTN74bh3m7J+rg7OaZ5x/eL3GK3H1d9qu83XFzbV9t7n2/UzT39t8rtanpWE0fVfZDM4dbbcZQwXZGKTsd0v3wowrxbC5dk5Iq3D9CpaW2lT1RJq5KqUw1jLcu8r0rQcs3j3m9ME7FGnB/q0XuHJ9RLKTEMUxZVEQj3Yo8hWRCkiShOVyiTqdMdzdQQRDosGQyeIhxWJFWmpOT6aoKCbPnhKGMWE0pNA5cRwx2HFlAopsRZ7ExGHkiqllBSKKSecTghKKsiAUEYvJFG0ycquYZRmf+fGfduOvPIecfasSKJQjm31Mpg/a1WUTqJmmGYPBYO19d2sfeYFOF67wWxgPnJdaukQMBPsMGIroOd66Ox4rm/OunlKUpXu2LjFlyYd2bjGgpXEYWx0BRxdHclOLcmfU2WWxhhLN42LC6WzK5PgEXZZOuNG6EmyqPdRaLiklO/GAZJQQxMG5ec7gA8BofJMItG1gFAerNlJ0A3H5mvXUkmp9v/Xlhy+GYs6T/tujcve2JPj271peZkL4YMKqFkgLEuxvZavv7UypF24yjYGy7/6tdoZOwTg3jzgKKibc2AGUseR5NT5tnE3UE0zh8zNtuo57db3d/3tpbQZ1mfe01e6FI7h4Al99Jw2YlhdAW7gxtZeD2KIdeweJTeis19ZXCUyy8lTcuiWEF57azMpA5Qbto/+lFJV9ra1LtrVuDx9uauxtrVSy9v4MGAyBcC6t4HTEYJigEGTLFaMrV0jGMckwRimLjGLybOVsH1IghYsdsirAiAGz5cxVl5QSXWSEYUxZGmxuKYwgS0sMEbpUpEWOsE6Lnp26fLylgbIs0dMZsiyJhyOW0zPi3QOyxZIi1+TZBCMF0egK6WTO8OoNDq4dufdhmqSZIggR1iAryFiKgE4xRTbPmrUaWa3HYrGo3nGliVcQmZQWH2GqlKpTOtV7UgqiICEMAkpsLVpcTHuaMc3IeFy6gNYAyPMZZV4yGozZVYNOP1psQtHr8zPWoITkxM5ZljnLImN2esrsbOJ2kJTYag8qGQKbZ0sgGMmY5WzJtZtXiMKYUhfrj6zbB4DRuJPtcXKXH6ryLGMTCms+V1ShwwQsfW6nfTBIG89eN/pWva197mkdl+U2LNYv9XaaaFKI9NmP1m1H7Xu2BRn2QVQdKKeSpgUVfAIEUVDf5/swQqCr2AsjveRPldbc1lJR+7nQgtDOn/nWcfZ9brtd97kqd9dN450CrBW999tqTkBjl/HfCzrMUvQcsFoz2WIM7NU+q33tpd+GibR/6FyduuvSuNa3ma4xjW2ma6Nio18pAdGkS7LaNISwQnKscHYIZSSltJVG6uw2Os85ffAuw70Rw50BQRSSrmagAuZnpygVYmyGqBKWZlmGNYJVmrJbxbIgAoqiwGjJfFVwcjoHGWAtLKYzVOiKiCnrpPWDKy+7meQrktEt8sWCNE2xMsAKyWIyJVssiXfGmLJEWEG6mnN8dsr3ff5PEsaRM+cikMI5QFC9a2EdcuIEPSeoaoFLD2StO5fGOmi1rAQeY5idTVyZ6+oMuaqlAlSAB/s9bKakdLawQBCHMeMwJrEhAV4Dvxwka61lQsEJSwYqxApLpguy+ZKd4RVeGr9wzq+7kL+3vyxtjkFzVYx5PD+lSDPS+YzlMqW0ps5U7c9dOAw6dM3S3RMdaQAAIABJREFUFYSMMejScHBzB623n/wPAKNpUrX4s6uqEq8+OrCNr1tr3UYQIFSjEnv8uu/99UmbfU4AfZqLZ4SXaW2m0UcYO8+03XQtff1sa9ukoW0aQH2t1aXOC7S2DIdDwlBhjNcgACnI08x3im5DWK5D33ENK4gWnNaWtbeN/7Jza8MS593v35X7uylj4IkLUHlgOTy6Gb+tidD6873TwP8XO83637Z2n1xPJ9MX99OXONTPrZ5C676Lshy4A+UqHNhaS7XGuDyDwrpkoKpKsiolxWTK7gtHpPMRj978FsvFDFtVX93bGRAEkmgQIUJFmacUuSVNU8ajEcvlEqMluTaslimlDVitVhQywOSuUm4UJ4RRwO7OgJvXrvDC7aM6ij8Z7zE9fYYKE3QQcPr0GXlZUixTRgcHlLMZBslsNkMIxas//Fle/vhHCSJnGzKmwFiB1oYojJrUMlWwphDOWSPQAiNc1vLSuDIjLu+fYyjvvv2gckQYgLboytDvq2xGkYPCgiDo0JrReJ/r4YihjblszRl/MkpreNu42JahCJnplHI+JV+mfPTmxzpu0n7fPdZTrqu96gBWUlMFkz5jxeP5MSbPKIqCqzc/ytnjx2htycoCYTSBDAhw794YJ2i8eP1mMzCPChjrzB1WMhwmvPPtBySDmGvX+2No4APBaDabtu7gSES98h2JV1SHv8VkoEuU+jBz37YRY/+w7u/7Ybe+a9sIjf9ea32JHGmbGthl7DPr368Tus7nFjTlD4sQZcVsKqm5zSpaHNxLNNi1OvbtNRaiSn1/fuT9eQzzsnM9r5++/SB7fucr6tS/s62AYUHDQC/JcLaNwzUvaZZrd3lG4pjQejE3KcGY7nr2a819ebPa8O665ugKsVktaghI6CZ2J97f5eR3Jnzrt3+X2fyUYRARhopAWsqBQqkB+SonLAWlgeV0hrWCKBqzymdoDPNlRppqtE6xQlGuVszmK5JkSBBIsAJpNALN8uzMRZgDhAN0uqLMF0RhTHh1n3SlKZMlQRQBhizTBCJCC8GHPvI6FokpSgpjwQjKSvOIhwYhXS4yZ+iu3OEtaEnl+u0ya2vtUhoZ4zTB02dnHBzut9YMQCACVRdCAxpGhutvICOUDXv2wPYmACw8YU4kFLFQTHVGma4o84ySciMWp7CGx3rC6WzCjf1dd74Fzp9SCObknOYLTJmj86L2vCvL0mn+FhBuLoUua6ET4HDnoDUwv8XcHxESGTrm+tY33+LqtStb5/WBYDQ1Qaikx9oo2zrgtZZQGWtrSVZUsIRt+toGw7SfdVmMdFufz0t0PBx2Uf8XaTOXfX4fXAiNVpWt0npdVdAkEwQQKOq6Xm0m4hlp9XnrGKztZTLrbastqefatvmc19rapdds1hEvxySrz9ZrPS1bYcVkO04paxrK+TBp137SRP1Lmnx3684g6/2Z6n00NkMnEPQ9u+pHGFyao+64e8dXaUm1IVk1EJ0pC7725a9z/OQxoVSIMEXKBFF5lCEluszRegkyoixL8rIgzZZYFPPlijwvSYuUItfIOEZGCfEgoNQanRWEQcCLd25y4+gaw51dlosZAGVekOc5QZQglHNcyYsVoRoihKDINEWaYaSgLEqGu3sURUFmJGWhsbisyEEUIqUnzsZVlJUaYZzHFV6bNxbt0gI02QMqLVOJplCa02a6TMa9l+7mKjAoxEYg5UVtSUmBZiRCcgxFkWPyFcYYkuEubS9Lb8MJNLy2/yFng8NDwIISy5lekS+XZKsUW+p6nMZQM1NrNWXp/tbazXEwGrGXuMLJVpsKcmyaj+OSUrJYrHj09kP40Cd65/SBYDQYW0fvauHclY1tDN7+BQslHVRmqbmq12rgYiK0zrjWv+v7+UVE3/fXhnAuF5vT/e36tfPuv8y13t9CzSyCyLlDBkHg4g3IcRRXY63E2gbX93aMji1GNFpAnzanbIkR8lyG04aK+hhtm6A/L4OBbvaHuj+6sVbebiM1WNVifC2mVGuB1R5sQ7nbx7CuZa/bZc53ADmvf28r8s9p4mtajK/FwBp7kncu6EJy62tkfTZ0KZmdTJhMTzHGkpU5EkleeSoSuD0kg4hsMafMF2SFJl3lZIVGG0WuS4wwqCAhDEMm8xl5lhKPRlijSQYD7nzoFteOjhjvjhECgsBBUWEyQlfpG5ZpicwhT1OkCCiLAp0XrLKSNHMxNrq0FKvCMRkrKlhLEcdNFL8xBm+cMsK4bABVEKKhmz1ACEGe58TDqPKI9VmcJUqp+qy3NRrT2ruHcljZZS5uzRuFY7MkEJJSGOa502YcoQ+4MbxCO/7pzKZESK7EB509Y3H799SsmK7mpKsFtnTltevzJQUSVc1XorWreOoEeMXNwxtEXripmIxn3u7caHRe1Gvw6OHTrfP7QDAaD0+0iYo3SPm/gSbPWV+2Tc7Hxtv9PE+7iOh34CP6Gce28byX1tfH8/TrR9Yeo1IONnSEeU1KtrZmLDVDbfVn1uZau3eK87fWZWGzvnfqv9vWX9duU/3GWEcsBL2aTTsdTR1N39KS3eQEPmN1t5Rzf2R/EzexHkgKEID18Nnmb9eFou6e6kJhjSt5k0Ov6Ve2rnWZjE+ttMGkjMVWxNMYw3i0y+OnjwmCECNC8tJgygIVVmlf8gyhArQCcld1crVaYYMhWluEdJ5zq3yFVCFSGoqiIFCKD714izuvvMj+4TVeeOV1Xrj9KsE15978w//av8k3f+ef8+CbX+P03Xc5O52CCiiz1LlEqwAhFEYa1ChhtcrIS4sMQpIkIU4GDIYxYRIiK0FWWomVrQJmCFdWyRgMFm1sDQsbYzh+8owkSSomVcHNoUIEiiAICIKgZjS6gqSk8pVen1MIrN67UZbESjKrKfIVwhaOKQQxO+GwTilzrGcsyow78eHGcwRwZpc8XZ6S+zIRWlfu2pV3rvHec16zlxihSYYJ165d46Ur13vG2Qgmwqraq1BKyWq+2Dq/953RWOu0GR/BrHBGyW1G2D7i4/tZh6YufsnnBQH2t222j8u0Pk2nTRS3ze0yY7qIwckqHsa3Mi9qd2dvzPQ2JCFbjgMVdCaEqNOk1xoO/QQf6NVo1jWVdSbdN+7nafUBaDEc/BilZ5JrUKLPeYboQGa+XQZq7dOGG61DALqnnyYm7DLz2kxP5KTvJikrQIm1Lr2Q00jXg403mYyfo6VEiLDu0zsehMMh0SAhjBOCIEJIl1XZmpwsLWrpvzCKxXLBcpE7qCy3ZMspVgUu63M8cK65xRwVBlgreOW1V/n8T32Rj//AZ7j32ic4iPcA+Hb+EICXP/pJbr/2Gl/7zd/kd379V3nnu/+IP/zDbxPEEUESE4cho1HMaDjk+ksvMpumDMYDRjtDhsOEOI4JI4mSCotAWqfNCAul33t4DcYxEoxDU8B50J0+O+Po5rXWuglkqGphuHk/zf9aa6QKeJCecXtwwNhGF5/parsYHJMByEyBMHm9Z4xQKFymjjOz4tH0mLu7/ZH4uS14mi/QRVaP1QLaFAhvA69sSlEUYqXgytEOR7uH7EUDRnK7A4O/JsHBqVXqnV5IqGrvO6NpY+Tt5hkQsOF1tm68rfu5xLMuIl7P20+bYLZ/f5G03r7WB+U9T7vMnKRxsCTgiqBRra+UFXRGLfW5obi69rXfv3cHb4255kXGH4TmmeYCXLqP4fr/+7TSyzDg8w5F5/fGQgWTaWE7aWiM7cGiRRXj5aG3Hu3J39fAdlABGHiX6/4xNi7M3hngMgKSe0yTx8t/dsJMky16ndF4zae7f53x20pdsVkB1sFPcZJw/c4tpsePQBuiICQIJTqXTE4nRHGIVAFpmjKfL1ksFuRZSa4Ns+kCgyBIhizmM/K8JB64mJIbt2/z7/21/4TXXnqdUQUx+fXLVnOIYZZPMbrgk5/+UUQYsXd0nVT/It+8/x2eHD/FFxrfGSe89iN/gp39EePdPZJhTBSFlasuIIwzWdV7zGkE1UpS26M8ZGYsGsvk5Kw5m1ZirAvClFLWMTNt4bYTMoFhGMWktiARgsAq2proRnPyHAtyIhuwIKfMi2os7ncDGSJxdpfMlHz04E4vM9DW8NDMWc3n/y977xpjS3bd9/323vU4r+6+fd9z50HODGeaM3yMONJQgiiIesVQLAWKEyaQkFhRYjuBIUexk1gfEiCy8yGIEkeIYUGCBctfEkCSaVt+SZElypJJUZT4EkWKFJvkDGc4M/d9+3afZ1Xtx8qHXVWnzunT3ZeEFE4AbeDinj6nateuXbX3Wuu/1vovvLMEVxE8SHCgTItCpGmK0SCpYWu0w2M7l9iiH4XxpkAe1mICUAgebRp4+eRaYF93QQOdBaqj0DFKt2Gnze/d/2Xt3E39rf5dm8jSMAk0mp1Z6e2B4ae1TfIk2OysTWNdwKx/3nT+g1hym44LavldEGE+jc7FYD3DUcYqPYaK2lXXl9FhFVBax9yEZpyr6UzLeahzQ5pxntROsvJW+jrhnK8GKm0hWr0MDFjmuDSROqvh0E2/uulPlt+tjmc1vH5phQhKOc4KPd7EPrEqfE+zgLpJmt28G2jyRZbHrVpBy3HqmnqghtLQrQP46effTT7c5s6N60xuvs5wZ4ej69cZFxV2vKAsCiprsdZhvWMxm6N0HU5sUoKPmxo6Rl7macYv/KNfa5OFV2ZBFFXNShGqgvLwDreT+3z7u7+H7/rm7+XqU08xGx8xuX/A5z/5OR5+5i08+pan2Dq/w2hrizSpc1hUXf8oSB10F4WpV4ogIW68ogh4gvcrwtcj3Lp+k4Pbd9k+f67W1oV+1gMThUyappvztERQSsh7PaazIx7dflOdu6ZWd+m1JhIZk2dUiFZM5hOULaKQSQyZyXlycJWAUInlarK1UUn3ErgexkwmY7yf48tAZS1aKbJeziDrkWaRRmf36hVECalJuJTvMJSsDrSK76NSasXCXx9+RSR21SojTS22Opm9+asLh/hTau2msbaI1/9fxcWPb8zr/a23+PJ1N6PNmcGnWSUnjf2088/StE/r66Rrdfs506JZ+6y01GSJghBqGpol4WcDk60I9E7QhYRwjF5/RSjVC66JDvxqIbAHuaf1a5302+ogl2OC5fumO8Jl/bz1z6GTXHzidZYXXPl9XXlYvhfHI5c2W3gn58u08Ig0UXbdMa2/55vea0fX6mp9DAKqZ7h87Ro7uxcoyhIfHGQJJGks++wclS1aeNLonPl0giiN90t/SJ736Q0GXHvT48eETGMp32OCs3UOlwokg3OUkwmFL3ndHpCmKcPtHcb3xzz69FNce/wJBqMRedbDNFGTnX0kKhc61p4RAR+izGmFDLg6N6aZc2stB7fvkvXy1unf5MjEQnG6M9/S7ktRuVKAjr6bJFs+vzO2EqUUU1WSkzJ3jtqNgsr7aJNBYmI+jCwYqKyGgEPHuRP/G0vJ1JUEFVDeEPCtwx+WVhfAQ8PzPDa4yOVshywsn3e3re+53VaJjYzXymHSpK1Ltam9IQRN07owCRxfdCdt/JsEzvL/kzbsk62AzZvB5vYgAm7TuM7q66S/T7Km1tux45qXoO7De48iBlxknUXfnBa1paWK3mSTN383guXEe/5TgAJPErSnzUH3HKVWaWXW37djfa8vuk4/3b16cx9d2EqvjKVxGm9axA+qYKyGTNcbZ3BritRZbRlq3YRLx3/Rv9MIrcz06W2PyHo5u1evYSvH9oVLqCBU4pGQYHRGYjLKsiAkCUUdmuwl4GxUamxZcO78Lj/4V//KsZE0c136CreIgqZYVOh+j7Q3ZFrNuHX9FeaTKS9++vPcvn6b8488RN7v0x8OMG1J8pjs3So7bVVNangMQv3eB6/bZyGy5DQ7OjjEeyHr5S1MphIdHfJax2CADes+KiK1z8pa5vMph35xptIkQCkeL6AIWFegxeJNH0G1AnxCxbic1BPWfQeav2GhHco6fFnhQxmpdupSCEmSkGRpG+hhJNCTlB1y+jpbsV4cQiEWq05W5ALLyNT1UO/19oaAzpp20qJ/kLruX31I8ZIPqvnuOFzx1eW0fC1+ltPO2SRgN0FnZwko1u4LiRoXtUM5y7L2/p2rI1KIG2KiVDy/2RQ3atpr4243v7Ofx6n9nAE9nnVO+3+taIrEyLMWApSl1tu10NokTb2azBlFx2qoN6yHaTdRe8dZv5vW5ispxbqPZlM7PgfdvpfQWMMB2D1OZJ3gtTm3S2/jO8eoug8N1PeihWww5NoTj+OKBfdefTluqkahRVFR4YLDKOgNtjg6OiLr9alsiTF9VKbJE8MTzzzDX/5v/ibPv/VdG24SyuA5mt6ntBGCmY2PKOczBqMtFuLwtuCTv/5v+dRvfZhKPM+999tiRJjRKKVBxfBiLaZjjS9LjEeS0YBXAefj53XewKqquH3zFmlq6vwZRZLE/lous45C2lUgus+pqhyp9yRaHwtAWXd2KGCBJUPjEMS7WCVU1RYYEJQw9guqskT1T14vM1diqzm6tmWUMhgjqDzD5D2SfNDSTjmEEgtBkaq09YlraQSDQbEsJLh+C9NagUA0QtUyOmxqbwhB04QyN5uEUksKl5OsmXUYYrUWx/om1820jrh5AzM0UNF6e9AN7quxeLrfPRDktXbMWePsCsezxhVsaDXqNIsviHOOJDG1wAnYypPUNT3Wx/MgAnLTPZzlR/la2lnXWEGKusSi+vgxzf9KqchyXDMQbRLw69dfbkDd0gCw7pBvqpY2fz/I/TTfL/vb5NOpfZDKAaa1TrrWvcj6uU3yXx2MQEwibUKimwADrTXpoMdDTz3F5OAWVWHpDYZ4F6ju3CHJcryNuVjapPSyEC0NY9ja2ea7fuDf4y/8x3+Zi+lWtHY3vPoWhysWeFtHfc0XOGMIriK7lDO5f8irv/sx0sUCLYHPffB3+PYfet9KHguADwEVGiFeZ8EHRRNZFgItVNbN5m84zaqiZPvcDqYJh1cqVuLsBAE0a7ixiLrPQWtNlueEynKnGDPq55gTlI5GUE11xUAMc3EoEbxE5S6G2SswhqIoeHx0POS4O3/ee7wXvHM1jVAAU3PJpb3IK1cLjjGWRBy5NuyKwciyTIRB1VRNJyv57TxoIRQnJ6TDG0TQQAeO6EA3xzaMlcV88ma6WQNUxNAT6sW2DEn9an0Im67THe9Jm/2Dwmzr5zQL4qTrd6+76ZrNtHb/994TjTohTXIa518b4qwU1nr6y45Whbg6pqdt2DuaqpQbNn/pMuCebI1uOm/93s9qx5Iv6WzmTWAATW5APXIly/IVXeuF4yHSm8YaPx93Fi9p5U+2eNbLWZz0/LsCZ2UeJNnINRf7bYTKcUsqKnhNMmBk+EWFOknP0OsPSdOUJ9/+PHevX6fc3mZyeJ/peIJOUqzJoZqzNRowqwqeeuY5ti/s8vQ79nj2G76F3Wy0VOaPTWEsEuaDaxUgay3iIXjLvZuvcXjrFolSjHo9XFB88Vd/i6ff/iyPvPAujDIEHaMrm6AHOpxygRhR2JROiLO3GsweQuD2zds1vX9MRk3TGPrbCJDm3GaMXUETa2Spel0F0rzHoppB/xIrbe3eF/g2sbMIDhGPDgZbrzNjDEjgTYMrZE1dmTWrKI4rEMSTpHWCqklR3tGWwlAqcrglCgxU1kKaoggUypGIwaBXi06epAd2fFPL65/c3hA+mnbxd/Dz5sE+SOseu6opLje5xsSLm7GsbpoPeI3T/l7/7qvR1B/EKvpqN+LOF7EPAhD5pNAStR1TY/D9JRmg1hqdROfhbDrvnL82pk3jbL9fzZ1Zn+uur2KTVnha2zRXm6ys7jx0edtaxuZmDKc8fyVL3f9B/EbrxyzvPRz77iT25/X72PT3sr9NkNjxvpbz04U2IuTWHd96Emog+g0kRP+H0kKa9PmGb/h2fvAv/g2uPrnHQ48+xu7ly2RZxvaFXQY7Owy3Roz6A2bjezzx1qd4x/PfxpPXnjmWo9SOPMQMJhFFUZbUrCg4a7GupFoUjA/ucXj7Nqb2rxBi6O+//umf58anPoNIACc4FF4UAY2EyL/mAi11DPX8Ky1Iopa+RBVYTGeU0/mSNUMbkjzCylmStdbMSpNasDTPScd/rvKkeZ+B6dPlbITj78lMHHnIKPFUriLolGAMJjVkvRylYSSGTHd8Q2tGoagYBWZ0UpeC8BAcLvjWQkmSJI7NxURhk2gMqs7+j4mshbLMpaIUH8nxT9mbmr4bLr3TAgfeMBYNrGrmzd8n+UDW4afjRc00sY7H8dj19T5Pm8zNv8Vw0lhjvNZQm9o0yiOSss4EHT9EyouzhdTxwmnrGrzWUdts4t1bizAIEauvV6voiPW2yzxw89XXGR9OSNIM7z1ZlmE61OBS48KH9w556OGLK9c9aU6iAtlEqnU3sa7gX89MX01Uba5zEkx1GqS0qUbP+nlLq3nZh5FIqmiEFetKxyIymNraWe9rk9g5GVo8WQCcJji7/XQZG0R1/EwrcNrp11BKLalEfA2r6VALEh8jPPTa/IlHlOH8zhWePv8UprP5/Aff+yOUoSL8sOG117/M2B5QzI44unOX5174TvLekLKaU6XC6/YmSch5KN2lx7JK5X034dbiHlmSsJvuQOVwPvpovPdYa8FZRDx3705wdf0X5zzaKKqjKf/8b/8UyaDHj/7CPyAhxdXjC0aBrwlig6ARMB5DiqhQp1JpgkSutFe/9DJZP6fXy+nnPXpbfVKtUEmKSXTHD7fkPHPWY9J6G60tH6M02hj6OuWJ0dXlM4SVJOcQYEZJMA4ninFVoLVpi9qJCNVsQigtT1558vjzZSlsrETLyAUHLibS6iQjyer3OU0iWpHEwAaARCf0xJCToBHSsKwI61XgKFhSpRmpTvG0+iYWWG4eHdRKgm9RkpPa113QnKWhngadbe5nncTweN8nQTWnWQ4bx93kIuDRJIhqCq+d0IdolA4gpwu307LFjwnGVsAFlOhaQwtL3VFL3FhVDFn2zvJv/p/fZjTaQowh+DgfJtVYF+nipY5cWizKY3Ny4hytbb7Hc5ZOv6/Vrs4OEDj5+Z/eb3NsV1ExG+DaRnC2FTfX+u9q52f5xE4TnqvtePImEJka2qTSyGEQ65ivBrSs9L8mUAHe9shzDNI+qEBRLXjp/svMZpMIjSmDaFmeG5bQ39Zgh2cuPtXOUdOUUuQ6sko8fe0pCiqOijHjx6acy3YYJH1ItphKyYGaEXzJa+6Iq4liINH5LEajvGM8uU/YCVi/tD9DCDGyzZYYk+J8hUPXLECK4JdQpPLwkV96P9/yg+8DnddCsh6nUGv5ioSsLnrX1AYCrTzOOay19LdHkSOtl5PWG368Y4dSsd+mJlOzdrpCXymFTjRpZrgy2F2Z/2OogIIChxFDRSwe1yACIo5gLW5Rcm50jlylbNoLl3C4I0fHiGejSbJerBXjPY2fLh/ExOztJAqOLUnokTJQMQw7KCHgEAlYJWQk9MWsDrz+XIqnLIvlO9H8O6G9IaAz2Lzwztr0N282zQIMKxDZg/R72vVWLaC162Iif5Bo1JrsVnodOjpbiz02DrUsWb38rokC0yv/L62nDTCeVnzuk5/hxlduUJUBJYHGjdD4ZQKBUOfMzOfzFehr49hOaSdnqJ/eThMyZwmYB3nejUBpw4zX7JOu9bPpt5PO2Xzd0+/9+LNuQo5ry7ZWJERqIdMW92t4zDbPlZKATgwXty/z7MPvBGAnG2K0ISVhK9viuSvv4JmH39Zq5M173UBAoiDLeuxdeXr5fTtw2u/iXAm5Srncv8AwG1G4ok1U3CLnkh5xKd8lQfH6/Dq3ZMI9mTF2M0wvJSAcHd5BCARXr5eg8Eh0bnuPt450ZxtlktYyU8agRCAEPvmPf41f+amfxS6mS4VU0frhjBLQHqOk/ad03ISrRUEIsfBX3kvJ8sgEABpjFJGeZ2nJNArrMbi8Xjtpmh6rfrneAgGvhJ4yVOLQtTUpWhAfsIs5Ok24MNje8IDX4NU6oMMYE/ejdq1okiRGnIUQyNBtKekt+vSpS7nXz9MRmKpYHC2p524TJDy2M6pF0Z57FjL0dbdouu0szXD9mJMgqKjM+GOb/vo5J2nnmzSHkzTQRpgpRYTGaB56fX4nk1Hp8EBjOjY2MbXA6o6pOSEshU3zGxyDdhTgqoJf+ae/CpJFbcf6dg9MkmWuRxyDYj4t0AKneVCUWk3uXLF+tIA0cxGhs24U1EnttPdgHQ7aDFWd3tbP6QYDdK9BvdDWr3+srzoMustCvlx4jbN+Ff48cbwd1uU4jiW7wjJC7Pi9QBxrolN2+jucG+5yfnCOrKMJK1W/mZ1rn++d4xsf+0ZuTe9x8/51ympOy5wDvO2ht9FPesfHqZZQUHdeRCT6LPwyTB4VBUYRHNvJkHu25HByi3S4g/gCX1mSRFMVtvV3dJu3AYLw5rc+xcGd+0zv3SPYxsKLQRveWgLwxQ/+Hq9/+VXe9z/8d+xee6hletfGtBxfzbMJIcTzVWAxK1A6Fi/rD3vHrPgWVg4Agnc1X5jp+JJrwlWtNejkGGXLsfvCY8QgCEFino/4CIcHHxNoTZrRN/mx92XFyJClKuOdrcs2NEE9UYkUrdnOegxJyEMCenmOqBixFiRS7/RVSqoMiZgVn2YzBiuBcTmnKqpWIeu+A5va192iOQkmO2nzPauvRovWJ7AHf63a+XpTOmpDzefYoV4RMqsnnAJzrI0p+gD8xmPaeRJ9TMAsr7W2GQKiAp/8yO9zeG/O5Yeu1glrEGptMc/W69XDfFatUNc0fTWCpfl8YpMm1BaafI2zSlx3rb/1fycdd1IfJ3131ueG/6oVvPFGN15XqSUh7IMsuJPGt2yr8NnJvp4Om4DRbA12ePvDz/HCm57nmSt7PDS6TKYfgMwRyHXGo1tXefejz/PsI2/n/OgiKs0AQf73AAAgAElEQVQwScYoG9AKy7Xzak/D6ndK4UPNFFD/5iWWED4sDxn7yCDgrMXOxu05vf4WWa9f75qNDyP6NL33zMYTti7skA36XHzqLVTB44LggscjHf8i3PnCi/z9v/HjvPipT6HUUltXdXGv+I6HFU2+KkqMzugNsqXDX5L62GbNqRpmVGijoEmObVEEQZsIZ+1kgzoAp25rkyciOIQUjcMjKq7DgBCsI1QLkjTmu2UqPf0B1pcP6Dq8eZmEqpRCpRmDvMcOPXqkGLV8ck55rAQW4pioKuaUEcu3d3Ws7ns01yVFUeK8bdfIWQE9bwiL5iQN7yTB8yCWD9S+kzWBsy60ToKxzhRuoqPV1KFlX5f8jbUR/xZY0U5X2/r9tX4XGvhktc82X2IdMqvvu4kwUvWmNZtO+cC/+iClraiqin7oEcSixCCh5qKiIWuM/c0n8+PjbO5zdcLacbf8Yc08NLDPA1ocx+ZwrXU3+NMsm+5mrmurU2sDPuAkkCgd2Q3Uao10oA3rbKKFut6nsyyorgXcwCvAqTlhy/tY5t2sV9hs71nF/IVhNmK7v8MoG7LTP0eqjsNop8346hxHn48gXOjvcqG/W1e5beZErfV3sh801Jv+rCxoAkIOZc7h5DY+VLhiXicLK+azMZntYVIdK2+6Km7ma8JfKUWxWHA+SVgs5gwfucLlco/bn/08ikgAKSqgEHSSoG3C4mDK3//vf4Lv/9H/gvf++38edEaTDxUtlBg+rbUm0TFHZbQzpD/q19GGglaCMZ1naQzKL+vSKKVWWOZVbc0YnfDw8MLq3Gx4GI5AgmKiBGeb56Hxvohh2tpwuXfhlKdYzxHROipUCc63BLpKqViiQWmGOiWvt/tKCX2ajEKDwmGUJo/kOuREK7jlZ+uYZgHhfjnHFgXOrlp9pylQX3dB09CzN219kzkLIjl+bOfma6zyLGHytbb2/May0B2B0BzTwkeB6Gs5e8qjhdQRTE3/K1ZR2ChkGril2RyFmHT2mY/9IffvHfLow49QLQrY3Y7yoV5EaZoQMwuk1ugDL37pZY6OjtjZ2an7Ot5aTb6Tbb/a4uvcheQepK0Lke6L3PoFOlDfyt/1hm3qzHYNOB+jcUyWYrxgfVXnPTuMziB4PDFnQQBxIEkU1kFHDU/VjyXCQfVTaCLVagHbFYDd8PxVWHLT+7duGTSUKjXcQ8LVc1c5N9jhXL67Ev3V5PRtnMcTZnxVsVEoEayKDNVGxYqSnlXhuGRAWAdCloKnYRO+P76DPPQW5lJxML/H9P4dnC1Isz7ZYIgxKSEE5kdHpKMYAlxMZtFSOHYPmmCrmNfVH2Ary9Vn34KowJ1G2Og00tAUJVmeUMw8ygZ+8X//WV750sv8yI//WA3hBYxoQvBU5RxjUpJkSJJqdi+cI1VEy7t+xlHpk9r3EaLfzod2PsSoVtFq2Jwv7ezSqwXbaa97M2tFsCyFukC1QGWaS/2LXEhG6wDF8WdJRBYWUvPVJYpUNJJoMJosT+mT4pBYHrpeyXGXiKslkwSnYj5Pk0ezxEWX1yrEUvgKW1p8bdG093NKePPXHTqLPDzH4bOTIJP11l2MJ2VZdz93N6azBM1JFlX0xTQRZnDMMQ9tcEA7PtFLf4UK0VpZt2I61tEx6K8uzdtCVU0fek0AqxhBpDqcKrYq+L3f+QRuYbn40GV2zm3R72WMRqMox0RIanaAZYSV4s7Nm/z8//lLVL7Z7Gh9QAA6+BZ+aLSx4/MVgzKWz3Vp1je/n/SMu4KjG1ggsoRKtNaRoNFXJK4ktSU9BWnw6FCRG0WqHKNeSp4ojPKkCfQSRWKEfqbIEyHHc2mYc2l3yE5Pkyce7SqULUnEIbZCOo76lmFA19DKMWjEb9TM1+dn6VCOG3h8dglp1md3+xIPX3iCvYee4RueeBdvufg4FwfnScx65OHJ+5mCzRpCd6wKbsiYl+wd7jJrx22AO/aQG8UBYx8ZlduuVvpcPvfmKR3cu8UNf8jN6i6Tw7ssZnMWhaUsSxazee1DiJuTXZQEV8+X7tR56UCR3guusrz1Xe8ghEBVVTz0zNNcevoprIDzZV2ATSHWk+mYN2IC/Pb7/wV3Xn+dZh1GQeLIsgRjolK1vT1qOf8iHJaiEtPymwF16eNlgux6np8xiqyX8sjoctwYNjyULjzbKNi2TjJtfg8hsJPvcind2Shk1h+niGAJy2i4QCxIphKUNhhlcAgJkW1ANdGySmMloiaiIJeMVKXosPl6AWFBLGrXkPLSKa/whrZoGo13k4YKq2bp8kZWM6KVavD/Naf4KXDcaRbNCvQVj0ZqIRHhuO516kNrK6SFbNu8B0Vcfs21zNISMRKr+7XjWAobwaM0dbax1BDcEmJZH38rqMSAcm347e1bN/j5v/MPOX/xAo8/8TAHN27x7PPPIGoZ915VFf1+H62kGxiND5Y/+P1P8H//zA5/6cd+cOmfqG88KN0Kn+OhzPW4aggqhDjuRhOMz7Opf7IMpdXB46oSowJpTSsvOiVJNKkSCBGSSfsjQnCYVDMcDti+dgWVShQsvR1MXQ7Yy4yAJiWjLG8jzpGkPfxiHsfRjwWevLOo4FHZAFQfk22BzoiJlQ7xFcpksc58J7t8Z9SjciVSCZUPhDYpuMmlqmGwGqIzxiAhkCYZ/XzATm/EMB8xzAb0Njh9/0Ra5/Xqbn7NPbxY3sDOx5iszwVzOW7WItysDrh79CpZPmRc3SegGQ0vcFWPIlS3vpNK1JITk1IVJfuf+gjbu+dYLBYsZhOchTKtyLKS4fYOWmdkQ838aIK1lnw0gNLGPCFqK0oEkybY2iezfX6b93zvt/OZ3/sUi6rk6jc8y7kn38xLH/4o7uAQY2KUWKYzqqKklxgyEn7s+36YrfPn+IEfeR9/7of+AlqpuMYkOuFN7XMJIaCVQesUOnBks5m24+q8w7rO1jdpwjuvPEVujhdwbqe+7q/E0cNQ4PHexmN8FD97F54g11m0rGWNcVytUvdHX4/iQBZMJ2N8ZRE8DkizWKb9nM4ZiEHXwi8QWkqcBk/yRL9wKkmcG5EWOmtworGUvDo5YHz/iMViEdem6uxfb2RB01Caxzr1DbRy3PG6aoEEVuunLAs6rTub1/0t6xh/87lpq0KmOU+3mNAKXNaN+Opc97hk755De17wHNtY1uG/dhyqjjhqfDcnbEg1lV5bVvXv/u2fwYjw6Dc9zIufnbFz/hw6MSzmJWkasVjvHGmyShUT+4+b40tfeBlbebIk5ulIM8K1iLdNc06IwkuppuaHiriU0vHFDB5xvq1qmJWHKGvJBwO0SbGhQimhl/Y4d2mHxGzTG47IhzukZkiutjEqoWSOVgovjiAlXmYkbBOCR8RR+AnUlp6bHOCnM/RgRJjGyDsJgZDmqOkROsliaOnWLlJVqCxDVILyM7QZosURaofx4489QUDjwoxQCVVhWRRTHr3wbCwUlmUkmEjnohVKAqJ0x0H9pyBYHrAppSjFUk0OCcGhTULDcBIQ7k/vIs5D30MwSCiYFUdcHwoX6TMiX+sQFIo0idvKbDpulUdfgXNlTNlNEryrouBNevS3hcnBGIi1ZLqWggoCOmb5h1BRloLW8OZn3sJnP/6HWGXQWcrj3/oCX/wXv7aE+ExMUHS2oj8ckBea+3fv8Ss//35ee+06P/xjf4V8OMTbQHCeqijIkkhK6jNNwur+01oidQh0Y4l2ldud3vbGCLF6alb+DwiJKCrs8hoElLB0/otQEbASqIhJrD1J2/Dkpk2YsXBlpJvxNubOEdmm+2kWi8pteP5epE3NCETI1IvgYlw6aV0UMO5IwoGdUpVlXZ13jfroT8Ki2dvb+2bgJ/f3979jb2/veeBfAl+sf/7Z/f39X9rb2/sJ4PuIaeF/fX9//6MP0rdqQzbjhtpogd1Bb4a5EpRqLAVFrFR8/Ea753UdvptM35Ogso3Z/PW1la4FQRsccFrm/1LgNNffbFmt/r0ca2MRrAve5W8KuH/7Lh/+Nx/hfd/xn3Dnxg3e895vZz4es3v5Igf3xtx8/Q79Qay1EWpTvamy2RSfa5pzjtl4SuVs5FBqBGx9H8u2hNdoxuY8QUFiwFcubmYYVLCRGdooCJ6EQJ7HTevS1Uughf7WNmlmSPsDsmwb72eYJCPTuxT+Tq11GsowIVE5gqUIcwRHkAotGmdfQ4KNeRlpH6nmYD1Gpaj+EFGa4ALBFTWtyQyTD2L5W/E4ew/T7+OLgM5Tgg94e4RJE4JzkS8qLOLc64Qk12z3LlIxZ0v6qHTTe2NWfDz/n7a1awaE226MK4s4zlA7exTMKCiLRfRd2YCYGOXoyxmFMdzLhOEJUW1N0IIEmM8iFBfp+sHrqME750j7A3CewXCLxaxgsVjQH66GUnsN+Mho4C2YVDg8mHDp2iUefcsTvP7SKyhjyLe2CInG+ahoTSdHOFtx5coVqkXBVt5nYSPTwKd+80NYgf/sr/0lBqMh08Wco8MJWc0EnavIbK5NsuIfVEq1EWmNQGuUNYBrWxcf+FE0ln7lfcvEoQQe611qn00llgMWTINFa8VlNYzzyhLGrghMxeIqizgh6FiULR326eV9MpWSSUKikhXLqDuOSgIaFeE3Fa28nHQFki3EM55Nmd+fUBQFdi3KTDhdaTpT0Ozt7f048BeBWf3V88BP7e/v/x+dY54H3gt8M/Ao8E+AF87qu2lL8rYodE6CtVYz+gPdMrYhnK0dnuSvWf8NjltCzea6PK4RWMRYDWUi8rXBoupSV3Sx+WMRamvHdK/XpUdphUy96Wu1zLEJzvGhD3yYT3zkDwHIswFPv+NpbDHn+qs3yAc5IgqTZHiJfSZ5TrmIm00jQ5Ra0uGXZVnPQc0QHKKFF836JQ2OMQbvHPhAEId4wShQXmPEo4LFCGS5IjeawdaANDUMz10mzaKWduXJx/HFmLR3DgAXZjhKkrqIVFlDYYnkuDBBcHhvEAn4YgxJhvIOSXv40qJ7PVQ1R6aHUPuT7GIBaQp2URM3eoLzUcjOYpKqznK0c6g8R5sUEjBpDyQQtEKUgivgp7eQNEVnAwiWqSnI1A6H6j477K5EJb1RWgN9LpRl4ebYEHMujPfUT53K1+SWIRC8jUzGWvCVp5oe4vMFR8OcHR1pV7v3mKk0Wr0rBcEaP0fAVzETPxdI8hzvA3m/RzGbEwLopEkRWPpSlUnx3pLmGSKB26/f4tG3PMr48JDD+xN0cDz2wgu88nufoKoKlNHsji4hPmbHZ4km1+DKgl464I9+9/f4zcce5r3f951IiAXavAQSYv6LbqBdZY4Jm65/sL0/YLe3dVyx1ScxvIHB4IJHggU0D/fPM9QpouBQCu7aMd7OCESfHYkmFbPiWZ9LxcJbxFZAiH6pvEev12NH52zTQ9dw23oqghDXclvanQh9RrSBZUBAEO5VEyaHETJzztW+2VXk6bSmzjpob2/vPwQ+Dfxf+/v737K3t/ezwB5RSH0R+OvAfw4M9vf3/9f6nD8A/tz+/v6dM65/9gj/rP1Z+7P2Z+3P2v9f2ka5eqZFs7+//0/29vbe3Pnqo8A/2N/f/8Te3t7/CPwEcAjc6xwzAXaAswQNP/+vfm4pS9sIMn1M499keURt57if5bTj17/bBF8ppej3Mvr9foyK8ZaiKHjfe36I9//OL2y8zqa/T6O/bxM71TJQYFNfp4V7N9re+O497ly/xR9+/NP8zm/8LvcPJ1SlYzye8k3v/kb+p5/+Cc5f2OKzH/8Un/7EHzOdLUjTHGMUO+dGHNy+gyjNB3/7E1GzC9E6Cc4zPrjPI48/yt/8n/8a88kBB7fuUhQVwXnKxYxyvODc7hZvf/sTXDw/Iuv32N7eIuv3MaNhZLwVj84y6G3Fm3AV1b0b6HwIJtb6SHvnuJa9jdfKTwEQqjmmP8K7ImrDzhImRyidtPlRtiowvVEM0wwVqBRfldjFFHEeZVLIevjZBFssMFmOTnoU40N8sCTZAFtVeFtFjFrnVNUkRuGl/Zo9oSLrjyImL1HbVgKSaF74pv+UP/r0+zF5VluGGSpJMIMBerRFlpxnm0v0JPnarZozQmS/pi5FGEvBawevMD88avnwdnau8PTFJwgIr1S3uff6ywRv6Q366DRBm7QmuvSgFLaqMDrh/LlLPDq4jNYJGsWXjr7CH/7+74AKK2zH2kR4VinFo09Hksgs7yMCZbFgPp9jkoTx4Zjvfde/wz/70D/DOYe3joPbtwnOMzp/junhmMV8wqWrDzE6t8PrX/4KX/7Cl9j/tQ+RLCpsNccqFa3VEIv56SxnsVgwr8oYbSkedfUS7/n+7+HtLzzPcGuE0gl5nrcwcmgCVHTDPbe6tgESBUne4zuffmHF8qkIBAU9OZ7fJCLMqMhJebG4zaP57orf5cvhPkUxQ9kCdAJJzrA34KIakJNEfx8xQ/+WTBiXM3xZoFxADfr08z4X9YB+zcvc7nv1VuQlkGjDjKomHFU4ZdFS1x0KKnKr1djZLT/l8y9/kel4Equmeh8TvivLoiwoqgo7r3DW8t/+8H+18Z37WoIBfnl/f/+w+Qz8PeCfA1udY7aIwufM1kRWaN0p3MSqOba+4cbPjW1nGli5PbY9j5OhKDhZyPTylO/55u8jEcNB+RWcsjTxUW9+5CqTyYyD8XTFHGuJ+zpBBseEjOhO2HGI5JWyKmSafaUxW2Mu0NL3s8zRqDFv7/mVX/xVbrz6Gq98+TWms1g46uLlWCApyxKqouT1l4549l3v5Iuf+zJl5fDeYtKc2WzO4cF9Ll28vCK0Gwfo5YvbXN3d4mMf+LcoA/3RFq6suPnq6zhrUd4xm455/Np53v7c0wwvXAQdUDpF17k5IgI+kKo80mPMj5BygXOe/NwFgnhCzSDgJgdoE3HvUMxIkj6umuMmY6SYE1QNOaDxdoEdTyLMledoHfCVxTsBJzFX4t6rkA7wTnB2AW5KOb1POjyHdXNsWWFtidYJSge8g2AtcxzOVZgkYza+iyeQKOhvbUdBVEN987JABY8JYOZFJGMMgSxJKZM7zPKUvlx8IGGxUaa0X2wuA/C1NIdwT+qoITzBRSjIiSMILKSiLOPvoYYVlVJ1xcbVEdqq5OatV7lrbpLnQ5QSxuN66dcBL9rE9zgG/USa+jTrYbKMcj5vISZv4zuwDG9ueNQgSVLm8wW6LsSGSnA1aeTFhy4yOZryhXmFBEevPyQspqjBEFtaTKLxNsJurphjrSdNDfM7d7l376gNWVYETL0nBAVG1z5vpdAqWQltXsaTKq7txKTKZt0ssMyo2JZ+HRJvjj3XBlC7nG0zJItQrAgWR1GW4Gx7rFKKXBkS1iLOGp+w1HuNViRJSlpHdMQYNkgkzmVSQ2RNZL4LHqM0QcXQ6CZ/JsFA5zkflBOKoqoJOjsBEqq5l3agJ75zX4ug+dd7e3v/de3s/27gE8CHgf9tb2/v7wCPAHp/f//uA/XWagENB1Y3VHZZGKvr/Na6ZrBtpr2zQlcEEqtWjKqvx9qmrYCLO7s8t/duVC9gcbz2hQ+wmM3IRjsxtj8x8KY9enaCtmPOb+X0t7bJzu0iKNQgZhQrk1DMF5TzBbPZLOYNLEoqFwhYRJY1JZRssFia/02MtInsAKv3DtEX84H3/2O+8Nkv84U/fpHh1i5vf+6d/Pkf/AGefueThPot+Ol/+nPs/8GneOa5d3B4/27khyLEqpri+eiHPs4gH3Dt2lUGvYzxtFrxBw23hzg75jMf/3TL69Q8i7Suj1EWgd/6jY/ibcV3/0f/LqY3Isn6WDdHJxAzbyxldQ9jBkhQmMGIMF2wuHODbPs81eGr8KbnqI4OKcdjzGAEZUlQMVkPkxDQKB/QWU5wBdViSprvUI3v1WOuC9AmGbYqKMZjSPvMpq+igkISjS8qvBeqG68s79OkiK/wtVNWXE1Do2Pmt3MOHyqy3hb+7iHi6+CF74DXX3oNk0aa9fOXL8Y6P4s5w0VBun2B+fAVrqsJDw0eP9uHuLIu1r/4kxEyIsIdP2Zy73XmR5M2f8V7z2gXphTckTnelgSJjMZpmsZQ8uAiZb5SVM7FMGYXKU+qqmAxmwJNrklcw3Fz0rHSYzDxxoLUFuAQCYpyHsObvfdkeW+5fpUmEIMQskGf+/fu4SRGOmoM88mMwfY5gmjc0QwXPLYqSPBICLhihsn6+MKT5Tmu8sysx6uSHdMnx/CxX/t1rjx8jXd+49sYbm2jjcGrOo1cokKnWA0kapVJpTi3tcOzlx+P903kCgtITb2vGtKFlfkHag7ByNj8uhpzVYbMcNwNc6Sax55E0OLITMKQjJSlZewlcKAKDucTxFaRNDTvsZX2GKkcGyyV9vRDgqDIlIlzCS0FTY5pExIynWJERYup43uaSsntGzexZYFzblnXp0Mu2o08O6l9LYLmrwI/vbe3VwE3gf9yf39/vLe39yHgI/Ub9qNfVY/1Q1sKmGUC5nqVwvWmQtwQHugyQFtRsbPB74y2eOEd34bXBVN7G6kqvEC2c4GgQGyFrWtkzCdTqskcZRzOQt85dGJIywGm30cM9IfbjLZ2uYAihFiT2wfLfHyPe7fvt1EblY1aiFZ1nolajYoTOiHWzf0KhBAX93u///v5lu+KlsH5y5fYPn+B3qBPcB6TRo1bvGV76zy9QZ/5V6ZY61AKEm1IM42UJQ+96dG48JPG8SltJIyugx3SfBlt03zfvGSz2RgdBnz645/j6WcfY3dnm6TXx/R6aA06zSBJMWlGVd0C6/FlQTGd1Cy8Y1wREwKtFaqqAjePG5w4PIZQlogPJGlONZnhfIW1jrI4QKc9yvkcZRK01jg3xc4LKvGoWYn3AZ2kBBuoioLKesqyolwsSPtDtLYE66LV6h2io/atdIKr4ReNoizuRyoTrXC1c3symZAkEXIp5guUAmMSKp2g1SFie9i0ZJFfOzH0tft+tr+qzd8ft+wfrHR304+VwLScUsyKGKnUbBRacW7rIplopBbAOumh57YVFk19J2l463QColBB0DUbRQgSa8iwGtwSxEFQNMSjPpQktkJpYTAYMJlMYjVLtdyYG/g2zodpmZi11ggx/wvAi+KVP9jHViVKJ7HMdK+PLabcv3fAud2L2MWcJM9Aa0qJJY8TbXCFpZjOsGWJOtfklgAd662Zoy4UbkxcK4+ev9pq8l4EL652rntKLMO1UGSFIkQWVzxCicVKoCSwwFLZ+EyChJVnm3a2ahGhxLEIrg3a0SatkzNhFgpSZdgKEQI0KmE9ZaT5XuOpkPodj0EQzQsnItyqxtjSdd6xbr5cR7D8SYQ37+/vvwx8S/35k8C3bjjmbwF/60H6O9ZWFk73h4bzKebZRMgIpKF4rU3cB2mtJhGW11MqRj+99a1PUagp5fwOQQWq29cRk7A4OsDVkjvr1UWNlcEqgytmiElQRYKEimGIE23SnMAcr+YRXwVMmiHeMtwa0U80rligvRCShGIxo5gVTCvH0WS5QL3SMcLd+7o2t5CmBiktSlzUKKqKVMPw6mW2H3qEtD8iT1KcCHkvhol+5XOf59l3vxsXAvcP7mKUQmvDaKvPxz70++zubMccGhXhHogvm6+NSycBbwv6+TZaa7y3aN3kQRiSRJNnPQgV82nJK/svke49Rl/Oo8uSajFhsHMBYwwlNYuACEHFfJIgUYj4etOoSkdQCb6c4YtAIMFaX/sGSnrDEQ3JYfB11E41Zz6bAxqtTExE1SAeqvERkveQyuNtSVkWWB+wVnBBU80WoAyhptMwxpAkkPd6zKZjFHFOLAJBR2wfTbkoAZjOSrQq6JkFWS+nKkp0CCQPP4aYgsQHkgHcuv9F3nzx7We9pKzElK792byz65+P+QA4AakT4bY7Ynp4D1cULdYOkPdimeZUJTxitrned6TzGXMCpkMtYpwFkyAeSAEDwUZ25loPbqG2ZnOOluNSaIhANXdkPR/zZNI+aVYiMq1Zi5ctMnHFliQpiMap2G9VVdHanBfcfPHLaGVwzpJmGWU5I8ly7NGUqipIjEH5QC/LuD2ZMur16WsNNrCYV1RVidFL8soG0l+3YoRVyP3S6HyrKFscToVIkilCfxOxr6qVxdpq8iJUweMTofAOZ4uWdaS5RlJHjXU3xwllFEo1HQ41NdAsWLQkGCVYIFMm0iepyBKtlMIhGKAS28JfiWryd+ovgnBLJhxOxlhbriSsdt+5RgifFVT2dU/YXG9dyal0Q+Oi2loN3seEraZt0uRO0vAa6d/AdYrA9mAAxSELP0UWM0KeIGmPxdGYyjnm4yOm9++Rb+/CO8BLkyWsuHf7Vby/xnDYpyoX6CxHqQopPGQZypYoAV8VSKhQaR9fFvjFHAlCujVga9Bna3uby0ohaawNUXkXoR6lEe8Q61mM72CUQakB6c42udG48SFaa1596Sv89i9+hHe88B08/83v4Xx/tw2X/uCvf5jnvv27md27yZ0bB4QgDAZ9PvyBj3Dz9eu87Zm3oJTChECS6naOVINDK0W/l+NcRZamJEkWBV6dIxLEkigDGEpbsf/pl7n2podw9g7BR8iiTEsUrq5kmdImrIaA9xbvCkxNRW+txXmhWJT0+luMD2+DSmlK/S7uH2GLEgj0ByPKYopOM3wVKBezJYusaMpihrUWk/v2vuyspKo3S5TBu4oQqlhzhDRuXN7jbACdEnykKPE+lsY1JkXEtAlri9kiWn3DPpODKUocg50hhwe3GNgt8jQlDwpX3mK+8ySDdHONkm4m9vKFrX+r/7TB0xCtNnh6kxvRbuwsv1+/zlQW3Dm4QTGdUlVNomD08/W1JrQJgxlX0l0Ok7s1E0KzySiwod64ajYHUSgNKug2w93bJQeWgjZXCyIkrACHiwExRiMqwWQZVVWRSrpiNXjtlkpiXaBLYUAbRBS2KLn7yg1cWdSVZGMJaGMMrirp5xYhRTQAACAASURBVGlMhExzxINBcAL3ZzNGvUFtAVeoDizVhDWvz99KFV+loqXfQVwCghPHvAbQhpJtlPgBweFISHAh3l8htl73FVLPmREhKIVGt3AXBBYEZtgawnKgI9UMBKyD1CgMPdp0kdq/EP0qihBcZL2oi+fFKlqqppKKV1lox73JhGqxWKteHAG4KnTQFlkK5pPaG0LQLAVDlwlZUKQxwqibKdz6cQAVY8NV/dDbpMEzhM8SA4Z+IrjZEeR9tE6x4ynTwzGzyQSVZuh0hEkX3H31JQCKadScs+E2yhisLXGVibVmFjNMpciH24idRi3ZO7QyIEIVjvCLAl+V0VIpCtIsIxv20Xkf7Uowml5ioLEuzIAwOyIrs1jwKTGYNEGJJ7l4GZ2kPJZm7Fw8z0v7n+Yf/dzHePMzz/Pk3lt59s3P8PpXbjDUQ+544c6tu4Cw/0f7lGXJ7vnzEeaocw2SpKGBieyvEgQVFFmWRGd55MtHK03SG4B4RHKsXaBEyAd9jsbzaPXZCgmBYj6hLC3ZKEZuBQ3F5ACdDUFFGhB0dAoDzI7GOFtiraUo7pFmw1j9sCrwARbTGdV8Rm9rB8oSX2lCVSIkFD5QzGb1JiEoneFVAO8pyzJen4BKUpI0wlhFCBjl44aqBXEe0UmN0QONpaoUwaTRqgurkK7Xwmw2QycJRnmGyTkm4ylZ3otwEJbeYMS4uMMgfWzjGmgEYQOZALGctAJBuO+nvHpwgxAcSZKRJ3Esvd6g9lpHYkwRIVWGbdOnR9rhoYMv3niR2dFhC5l5CTVzg6CTFKvgpkxQASbFBDtd4EJA+1jXJFooLvoilKZnDEuq/MgAEULMtF9Wfo0+jnUN2C5KfLB1kAAx3yRIFES+E+2la688mrSuGpmgqIiCYDGZc+uV12rrTEizLAapKINSPs5/5fDKkCQJvTTDMWUehMpZQoiIwWBna1mkUOnWb7USNdfxXWgVK2lCFBw15SZlXZPKxWCuVX8x8X1CwYSKbaWoxEMArwJefJ3YGoVMc+5I5UshIJpKFXgvSKgpdERa/8hWktPTCT2prRmW865RLMQSVFPwLya3WrH06KOa8gxEyKxaLHCVa+eiESReaqLaRsFR/MlAZ3/arWEHWMefRRyR7j46F9cd/RpOhN0a3Ln1bahl2dPOUVEAzOeERUXaz5nevUe5WOAdlNP7gMZkOb1hTCC8d/Muw3MjeklKbzBkMRnjUFAFtLGQauxiHh19vh5lsHi/QJus1nqgKgrc5D7aBXrnL4AtGO2cQydZzEK3ERZw8whx9PpDTBZIvAYUkkWNRMqC7NwOO+J5/lu/icp6/uijn+Gn/5d/yM/83L/ksx/7KH/vJ3+S3YtDXv7Cl3j95dfYvXIV76NTdlGVFNYRvI/RKqLxLRYPXlEnS0YSRC0aX0WIr9/v16GSeSQ6tJYkSTi6c4es1ydJEirrqY7G6EVZ+40i6Wd5/zo66dEfbSOyYDKO0fGTyRRbzEGrul7OFJ2maJWwmE6iwDAD5tMFzKbgBRdA6aSu56EwKtK+B4katnJgbUzaE5MSbNECPc3G7aVCk0Deq4kCBZ1oJPha61YgMbM8RmDVllMb/ecoqgql4OZrt3no2iXS/oA0zxls72BGIypTrERIQlzUGlU7Xi0HsiA3GkKkeRGluFkecf3GK7hi3q6FaaM0mSSGkKcZ3WTh69qQmIxhr08/HXCtf6EVMl4aR24UpiKC8o7J9C7iwdsSW5UsZtOoNfuYpKpUbd1YQZs0wtadkF+lIzRtrY2QY5OErEDQEYkQwZiUsrSoegwAYi1pL+fcpUvcvX4zTi2REUApE6PAsmjFhCRGbyqjWSwW3PrClyNJZ2Jw1pJkBqkcad7D+xIrroafFbmJc15aT5BoNW2dGzIajeIupGIASKgxrq4239DPNFDZ1mi0DDICZlS4eodx3pMnS2aBFg3VCkSYu4p+YlqYkRCTJeOxCoxpLYXIHL2c55mPNDAhBNCmTXBNTEKqdPSXqQj3Nv5ooxRWAqIhleg3ihCe1MEPy330pow5mI6Zz2YEFxWLWCQuhhJprVsf7oP6B98Qgkbq6LHNA+5yjh13gtY/QK2BrjhHhRaXbPvvSF0RcGXJonRkoy0WR0dURUGxqFjM4yJLswGuKujlIwBufvkLXHrkTYRzgZ3LO2SDId4LJtU4W6JUD6UjqmyrmhcI8JUlyBijM0JVUZYVtvR4ccxv3yHB0xAv2qpgfOsWZeUjbNff5vzVy+xcukDe75FlWYTfxmNi/KjCLxaUVcx0v3JlyNuefRiAzBh+85d/GZNkPPmOp9navcSLn3sJUXHWy1JwZUVVOkyiEBUtFt+QFLtmrmnj7JVSkalGhESbGK0VAgGF1zArA9bO8b6k1xvhg0fKCSbtgxa8ddFyEMdkMsGg2izyxWyOXSzwQh3xlCOFXXLiKU1ZlpRFpHiHUPuMSlzwhOBQyrZMu8poxEd/UoBYVMrF4IzBaEhwvub5SlEkBLFxLMERXNJGKMY50C0FCLbG0X2kIfUhUMznGJMQtGX3YgzMGF68iNk9jzIpWmfMWTBi0Hm9Iz1/ieVQSubVgjkRYnKJsFgsOLh3i2I6wZjuGvAQFCEUeKuRxTwy9q4plY1Aurb3Hrx3BJZYuwg1kaOmqCrSySzWkpnNwDmqon6PvUSZ4QOipXaEq9rpvwqZNFFJSilCvSmpjiO9Cc8t57MowMuASPQBJFncxFu6eS0tRxxEi8JbFwlhVYxGm08X3Hr19dqScpgswZaONMuoioIkTSm9i+hHCPTSLIb0EoMWesM+l65cIcnS1hEeQ+ghtHuJbITSLu6cj/0ES64zjCiCgko8iVkNnuluOiUB6yoOBXAlaMGFDEJAia+vDcF7RGvyoBBdM3AoEBOFixBAFMHFoACVxKCBHgYdQOsMTQwdB0iUYCQqqgA9lWFx5LV1GEJgpi2HxQxXFKjQWC+Resc5aSH1hklAJAYOneWn+boLmlCboS2m23kwqwJlDV6TDqBYt5WHWv/e/a6hYFD1byKBw8Wcfj+rHcEpWZbRO3+Bi8awODri9qtfwbu4kQBcfvTNvLr/x1y69hC9rWcoZ1O892xduEAwmunRbWzw2MWCyf0DnA1ok2EQkiwl7/eoigJbVaRaYbIU3c/RgyHT6ZRbN6/z4udf4vD2lKr0GKO5dPU8z/QyFrYiSzRJb4gv53Gh64RQzJjOCw5u38LkA47uHlDUAu7SQxd4yzc+zwd/4yN8+lNfiKG99QahtWY2L5mVlvFkgVFJGzaeIJQilNa1PhGTZVEjC548r5NZyxJlDDpJIAR8+H+pe7Nn27LsvOs35pyr2Xuf5raZN7vK6rNaWZZCQhiBDYQcUtiEgwiHwxj0gHniL+AdXh1+oHnBYL+AjABjCAgRxmEHDstGSKi1VJKqSlJlZWXW7c6955zdrWbOOXgYc629z82bKfuFLFZERd463V7dnGOMb3zfN+C3fuPb3H/1LicnS3T9lFDViKvJ6Tm7zXquUnPO1M0pEzEU4HvvPTaobBxpmoYYr2cIpdteE3yLryp8CKT9BnEB56yvgiact+onVEUzEDNxjEhjJAFxAfUZGUe6zc4CR4zkFBEZZnhECjSVswXGaSGK9+QYcVVx807RsjtVXILWV7zzJ7/MG195h+r8Nk24hxfPXq9Icc/j7e/TnH2dlDOD2AA2sOz9xHmkWTBkJeaRJxdP2Fxd2HnGhA/2Pns/QUtgFWLE4eYez/FckBfXvgXNF4KDQLNojeWVM2mM9AWbJxcIUUaGWDYTbxTyKOarlZPOI5jn4COFYZUP7Cn1zoJVVmK0npp3FT7USEqzzVCa80eP80JdZyNZuMBut6NuG4LzjM7x6He+Tez2SCU4rYj9QFVV7Pf7GdKLMYEqQRzJOWon9CkTNeHIvPPDXzk8dxECjqiWcB2SjJvQ++uvP+CV0zvsdACBplxzzJExJeqquqF5me81SiZBt2OXr6wPNYyMvr65UZdMr3KVzbYpR6+JTb83t3FN5DhCaPChwnlhy8CI41Qa+77Rx1BS0Z9lkBFPQ89IjaMqaNEHrLm4fE633TEMIylHKMQLHxwhtCxWC/q+5/rZ5SFhMYzwYyubTzzQuI84uUOQmdT/N226OW7sF6jh+Jgw7xlC0wLRaZhLesEyVldX+KqCHFmeneOWJxBHqnt3CG3Dsw8+4Mn7HwBw/fQpY9fTdyPjrqPfbohDom6XDKL0fc/u8hnjGFlfXdN1HT7UeOe4dfs2Y4rsLp9TVQ2L23dYnC5p25aq8lw++YAP/vA9Hr53WRrlibZa4iqzxQ91RbU6YditGcfE7npNRtiur+nHyHfff8bu+iF9P7DeWTb6hR/6On/vF/4xTmFImbOzM9LQGye+bEpDH4tW5LBBTfiyFnt/H6yfYqPREuM4EFwJMFjDfOLfb3cd7skFm+t12cAiOa9toxchRvNOE4XN9ikyMcWA3W4/Jx9jtNEPwzBY9VSfImTLyscBFyq8C6RozsNg9uyZhEjN2NlmI9VBMBfHjhAC2Rc2VJn26Ctv2pnpNVKDFg2+8WXznjacozERUmi/GXwQvvAn3+GNL3+a1d1PE6RllJ6YB3K/IT6/QBNsTnvWeSA5qEqj93iAWtLIfrdlHDr6vUGnQiKlAlsUjzq1Ihgn5kPmpqb9R6wpYw0m64kc/YxH2K43DJ09lxmPzxMmb72ApNkcF5JAGohNnDF6VQs2McaZwvziIemwhlMcDk1+XxFcot93dF03Q4DWC5mIAAEQhmGwCZ1Y1XH1+LGNL44DQRyhbk1Ls2iI+4Exl/e63OMQAkEcoyspq3c0VSjOxZlku8ZBL5YPc2NmKnEVeP3sgfnmEdkQOaHhKu7JMeF8oJo5eDehUocwFAlHyiNIJqaIjgp+6jEXJ4IC1c0UcZROigedE5s+EiqTV1QVzgm12tC6qHGGZXtGPIIv/T+vAQQWWDAUUZ7olsvNlmHfEdNg1ZQqIQQ6Orz3tG1Lu2wYC0P0QPjIH4NI2fGJBxq4SSWc/jtTCJ01yCYx3oxDTwtKZG7Y2vcPPRzK37XBl1Lw5OK6PNnuO8FV1mCv21MIHre6Rd5e2+Lfb2kWC0Jt7sL79QYfKjRl+u2Ocd8jrqYfI5IGNtdrnj+5oB8iQzcaBJJGnCi79YZQe1zdGgZb+YJ1ZvKoPL+45MnjS3bbjph66naFc4Hb91+hOV1B7OmuL7l6/pzNesfV5SW7bc9mvSMOHd2QefxwzZBqPv3VLwDwi7/0WzMs5lA2uzWrk1PW15cmanMwxETXWYM4iJtdEMQp4pTVakUVZJ4/kQm28ZTgEELA1yZQS3lEqRnGREp7Ql2zXV8hAr6yqYoxjngfmGx4fGUNWIAhp9JYtUpDVWnbJTmNiCvwlSpa8PNJ85HiCBzeG9s0bbMIMvUXLNDlZE3olJOZCGIQUlUf6K2OgBa9BTmDNwuacRjnLBcgjQMSM1VV8+bnP8XnfuxP0J69guDp8prYX6HrNWNXFnGM7Bbfw7VGcvBeAEceE1ms6s3RGG4T9m6aj4ntqBwjwA5FncNRGiRM0MaHYTQoTK6U5xHFKWUQ0xeNfX+AvbJtHobNG7SZsqIpkVSoMlQTzJUPFFdNCfU3CQA4R8JgsAkinVwDqD2EhjFt6Hd7wqKZCH0W+L3DFVv+7LCREllnVt364mJe91lA0oAET+oSvqnZ7/e27GNC6oo8jDgPXg3RyKql4T9twkI+guinPu+B+Sa8cec+t92KJ6xxiIlIBdOCucCqrVkyjVI/7HHTv3O2JDDHhCQlpwG3cgd1ih4C7cI1N/rQ21J1xzEigAsVoappfGAszf26iMLHnNlID4VVVjk1F4JcYHqmag0e79bst9ekfiBnW9dVVYEzgoV3rgh388wunM4pq8zw3Ecdn3igsWDy8pkmwGzRP2GlqjYe4PjBTWX6h/7uS8q5+f+rK+NhPFVdKKdZQT256+i312yeXfDs/ffY7XZzr0XHRHBGg+33HWlIJDrc9Zaoke12y2470A3Gca8a24BdU9OPA1lqckqIZuIwcnZ+SrffUjU1fW8urnhHVmN6rU5a7tw6JQ97Yrfl4skznj56yrOLLUPMjCmbo+qorLd7fHvGv/Oz/wFffOcrAFxeWCXh8FDbhtrtN2bHMSRSygw506c8OxVM/jdePUmFLJlmsWDsLYMdxo6mbuYGa8ojIkrTNoxDLuC/aZ92ZS5O1TYGd/W90bTxc2WZ0mQ/ZHCJeI9oZByMXDAMHUPfsTg9x9mkOLSwd5RIlGAMOc+cjWdJII7VajVnYGbvn/C+JqWIUxs1gFSoxENTNjjbUEsgtapNSD4RaAyGKBh8XTX4AHfu3+ZLP/J1wnJJynvGYUO6es6w7sx7q7cqsu971s/+Ga9+6WvWV0iHgJ1TMvaVSMkop3sipFTOb666yr8T4AX16bAhJSn9rANsZWsigViVaOsj2z2ZFN5Z0EKDJWuhlB96JhbYQXNinFXhgpIPVU06nPNEpxXAK6AGkQpWwfbdjqpZ4l1AxdPnAR0OLC8wmNuVxNN5jthNQkwD/aazdVZV5DGiGgmuJrlMHEco7hUSPHmMNjWziBOlqkgcXJhF3ZygijsKikf7RvAVb9x5gEpmkwt7L0eoQYLYtajSSZrZaNPTAiPXbDlAsaDWv82GGqSjZFuB1rdzUh1RwlHvUbw5WZOVLhqlu9dEJ0rMVvnElPDBEcV6lFH21FLRHj2jXkeG3kZlmGu3VTIu2Lyd6ojUEIdIHg+uAMfP+uOOTzzQwE28+GUsBlXFedPU2LibF0q04g4QsqltP0QawBhq9noWe4yp7+OcZeTF8E+HjrhZc/XoIc+ePuXxd97j4uH3Ob9vzXXiiDhP6gfWF89n6CCOmYHMbtex7UfSaFhxGjOuCYh4um7P0Ef6bkPlKoZ6YBgiqoluswXxSFXjEYLztG3NW29/iruvvoLzpiHK+Rm7Hrb7nqG3bHvXJ8ZRWZ69zr/2F36Gi80Ff/Hf/iv8/jd+0xTxQxmvlDCYyE+LyjY2Tbn0ACwoZizbS4BTmy4qIgQvxjILYS77p2BTbjiVbxFvf88tqqJTMFZb19uG74KfqZWqChrnZMMpZnnuHHXxE0OVulrYOOWiCp8qlzgMtKsFKRTr9uAMSnPWLN7v1lRVS84Jl0sztWykIiWr9Pb+WfZuBUyK0bQLKmhhlk0MK5mycQDvWC2XfOZrn6eqPXm7I/Ud/dU1/X5vosJhpNv19H3PGDPP1k9Zvvo6Kh5wc6C5uWCz6XN8UeFntWngpbE+poQvtz2PGafeehpG7SqViTWMb7hr6MGw1p4rRioQLMFIzJTiqcmbs62VyXbELOcTOVuPCmdJmpSglOEGAcBu3fSs/fwMYvFYy2p06LZd8pm3vsTv/8Hv2anmAwnA4E9PKpCyD4FhbdC1r6z6dFUgRgXN5BKsc/Hzmo4YY4Hr0zwvab41GCtMs+JSPrCtnFnpC45X79/nljcyR0DYDZ1dVw05GRsuZghhIiPd3K3mys9JIayUqtmJ9VtQkIQmSyia4iahqiQSA7n0LH2xegwmN/AeFaXPBsmZoWjCJSX1oMHRlQmvD3w7n5SqcklnAfGFMevT2vbeg7PEJRfSz3HVZQ/pB7xHA9xo7H/UyVplM/34TZhtYpill/zq8d+7gZWqIQ11MAPH2FnmHWMmxsizh4+4fPKMYYShh8fvfc9+z5lu4/nza5vtvmxNpbxds9/v6YZIHCIpRlanZ7S1R4Jn7PpSdnbWXPMV+MAwDOz3PevLDSlmhr7j1Tde4WTR8rmvf4FPf/FznNy+xfNHD7l89pzLi0u2V9eQLPB0Xc+Ya37sp/40fap594+e8t/+rb/FwydmNXd5eUnlC+MnOpDEOAqhZp6mCLbosytGeWpU1BGDrvb7PcsGlsslwzhSicx4fu5HpKoZhx0OpWpq6toWRxxHFAvkE658nD2mIlbzlZ+/nnO0kr3gwznagzK9Q13KeivVVZW6WZJSP2NJekRHTXnAe8e43xu1OhhzTsvCdlKhahCbD6H0j0bbSMVMJlGPU6Oh2r0pmbzYzTs9P+ONTz1g0dSMXU/cP2Lse7ZXa6uEY2bsRvq+Zxgio0b60fH9b/8hd9/6tBV/jlKWp/kdc3M+7BAfyKm3F7w4Zbgj+CxrGQmu4HzRncmhSpwy82zLBKcZMjP7Csfs7DvPspuCC9PmmMvmZ35e82e7gwvbtIn6siYj5nLH0abkMap4SomxH0AyediTx8hyscKvDjY9098TEbybKssSLJyju9wc4EQgj2NhiZoLdC7uGb6tIGUzeS39PhFvRpNtyzRdkpxQrQBzHJk8BifUpVm0fOr2A7tuik1T7Od9ZerrIBlfRr9PjbR5zyqQn1ODYuMwktPIOFGpy0NQtWs88YdBcFPga5vGBrx5S4SsnxlBlTGNRnpK2eYyTUa/YyS5wEpaznw9398L6Xi237Iv2j5xjtp72jIYUVXJbbakQ0BqygO/SY54YQzXh44fiEAzZ3IfExFvHtYQvUFXPrro46poeglL6oaWccpZzO2urRujuI4R8YE49HTdwPpqzdXFFbtdR6harh49Aix7HPuB7/zhu/i64VbwVE1LLCXtJAJzznF+esLqbEW/XzM6T793uFpIQxEPlmxme73m+mpLElh5xztf+yJf+PLnObt/j1AHuutrvvkrv8bl5YbLq62xsvrBMu+U+At/9d/n/Ucf8Nf+o7/G8taZvchlkxj7gbBobEHnjCu/E7LDuym7NRojMc2CREpT0eibguDphwEnYpVPGCzjcVadNE1DTAOuj4zO8N1MIuTaPq+qTKPhHUGciQYpg5pcMKomlgw4sUCSU0KJ88jrrMo0nz0nEze6kGd9lCaDVG0GvMOHBiET2oD3oYwDHolDT7NaIQIO0wBNvnLOOYKzkbYuCVLXpscpWL0LtTWyi1XKK2++RrNs2e32DEUIGYfE+tklV0+vbXMXZnv1iCLOc/n+e5w/eBVxZuV+DEPM0LCzNnQIwViEGhEmZ+1pLZTmeiFaaD7Koo97DWCbz/T1IixMRxvElLQZVGdPI0/9z1SqFT3ASVYZWvVrbLHDxpc1G21dy52dRJCi86bUdZ314RCcV6o6sFk/v5EtGxkIglR2Od7b0LSm4frZM7z3jMkICHW7ZOz3hMZcBqYqufaVJS0cPPoy4IPj/huvlerXqkf0IMwE0Iz1+Jzjzp3bNC4QUfYawfny7hwqAe/C7J5s9/SmPtCXz0+l4stF+yUieFHrg5UAOyVsk8Rjz0CvSosZxJJBnTE9xUGKagab+fhdCkZwcI4m1LxRn5vkAxvjfZl2DH2PI5O9o/ZCqCvrD+dM0jifD2KEhAkMPE74p8/7qOMTDzTHgSG/cOLT96fjJqxmEMGLpemLv/PSS9dD83nVejSZ7iKNvQkp+0iKOgvbcAFXvM7W6y27zZp/9rvv0ueaH1lZGR2jqdnHfmAc4OR0ydnZCcvTJUFgLz1OtFhjBPp+JI4jw75nu+nIONKYqU4WtMsFKSUu3nuX/fMLnj6+4LvfeR/EEQcTn7ngkTFzfu91/v4/+Mf8nf/m77Lbd4wKd+/fwocD7ABWEeYJNsQ2JjOtFGJONp8lBJzDejVyuNcx2mJKozMfpyxIyejxDi8ezZGmOkG1zCvByvRu2LNYLBDx+EUwlXaOxcSzNrNFIBSyxwS3zOI4AiEYnp1iRI/co72byBSY/xYlm6wKLk9RpxearRaYaoJx5mZvIQ2oKIJjiNG4w+IMIgSr8jxWYVQ27gAskG8l0VY1aE8aI8N+4Mmjp4y7Dq0P0KKqwkQhvnrK/npHe2aq9+OqHo7Or9wT5xwx20aoqnMVYWwkc3PQlMmT4aUcdS1fSLqOk0/J6SDCUw69Awcu2fgOU6EfBHoTG80CB3gnJU3IqBNDaC02lTZcRsLRiAEniAr7/X4+DyeBcdwQr54dLdOpKvOINyjVe8+w35Palu56wziOpX/jGfv97IFWhYZ9v6OqmnLvQFJEarPAn4gOr33mUySU4CYaWiZng4vyVMEJLJuWe7fusJORQGbnRrMyAiY/vOm9HEnUxZRzYhNOxyDKEM3dYCywsogcPbvDc1+F1XR3ytoVliHQ55GUlTZUc4IbUzQYWMvzdkLGHB2m5/9Wc/cGjHjpesbOyC3GWnO4UBc9k3nMuQKdpayk4tQ9w39H5/pxQQZ+AALNMc9+eigfNTDsEJRuOpsqwEui67SoBIymKPaVKUs4rRcsa0+/thGyfd8zdHvWV9fs1mYHbyKx3pT0wC/8/f+L/fWGV197wPWT5/zeb36Lz3zts6CZXbeHKHzpK1/maz/xFZpFzdCNjPsd26trLh5/QMwVm2Fkv9ny/Nk1UWHMpdmrkedPnvJL//CfUpXN0olBSCKOdlHTnq/IOXN6roQ7b/Frv/GQ//nnfg4tth+7XcRfOtqFjQcKdTUr+1PSouvxc6BwpfGvWdCUrPmejNGSnW1gNouiwUtp8o+D6Wm8WLBIow3GQlA1GMxXgX6/I4SaUSF3I3Qjztk5TdYn1mAWUplHk9Ww/qqqGPq+KLEPliSabKCUc2a7kieLoqGfB2sZ9GA0YXs1FKlqgmbEBRtLrEqOEQ3eAg1CKhXd3OgsEE9VNagmFI9mG1NNuX/f/+73Z4scXzfWL8wZlxLiIGiFry0wS7G6URGkdnz31/4Jn/mJn5wNW2Vm28l8HtO7XC0qhquBIFPzfppRZJRZFUsYAjC6kSAOeWEOSopxWkiHNSKl/5TNMXiiu5bU3hiAWRlzJqVMTlo0R8K439LKiuw8kvWo1+TndafOqpKcpzHImJZGldSNPP7+Q958+zMMac/masfp7fMbe8PUb3HBMu1QVew3G2KMXLz3vSIYThAEV4gNIkI/7K1nFSh9x0RVN+ShmgGT6AAAIABJREFUoxbIKbO6fYsf/okfQaOioTiLGLZl11Eauw/efIN7p7c4dwv2jFzJHp+FVBruUhwoXDARawgBvKEE4YUNWHIiVI5+8ITK4FYLhKn4OdoelVW5s7hTIFAlYoyxVpQLl0kkdkWmgJrQk6xoZWtLvDOY0h4ub7Z3aJ3dnyt6brsFTzfXlrR4j4QljffUbdEyJdNTjYMlT5OWLcZM7IcP7c8v660fHx/PSfv/4LhRfbxY6n/sv19yUS/87HHEzXJ8MwxvNCGygqhpY/Zbdpst/d4YGM6DFG3M40dGo3zy+Ipbt1/l1tk5Jycnc0bh6pqmPaM5XfHGZ9/g7M592tUJTVvRNA31ckHTnhDH0Zhp3ciQjBUCGV+qHRWhG0Z2/cCYExHbQBZnCxanC9q25vT0lDe++nW+9/gp/+vf/Z+Kyt7Afo8w9sMN/LQfh9LHPmLReGvKT2+AaTjkprcTgjhljEpwxewwxSONjWccOoAytCofRH8pUTUtzgV7OREQT8ZeVtWJXmub9NT4tR5ZLhYyQir3dxytwTlGq1JEHTGlYlOD9bviSCpajn7YWwVjuA1pGIl5tOCmyqgQnZCi2YWM2SDD/X5nf9cdz4iPNhenXFdOoCVHG8lEG0RklkE5zWwvMCbSJFCVyBwgNEa8Rp5+93s3F20+KK3ndzkLXsxqJpHMEoaJDlsCBWmmnLsk8/3Uo3VzIxPNB+aQkMtAPmuAm29a6d9wkBscByZVpd93xGj0fJzMvZnj90z15hZj7SOb76QC2+s1Y7bAeOfeXX787R/l9p3z8u7aueYCC9o5eKA8z30/n1cuWhlSnsdd5DSW97RQtTWCN1i0qj13HrzC4mR1I0G1sRg3oczP3X2T2/UJCyoyytCP7Ar8LU6RQkOPMYNoSTDMzfn4UFWi6PxOA3S7PXHsDYothI/J7Xrh6hmmcqJEMmNpGaQxEtOIxMGCDJS+o8dVFYIrUGfiTrXiTFpUTYfTu0MCZm7lgRACi7YlFBPVSQvlFOq2mSfLTknvy46XFQfT8YlXNDex6aMS/4XoePxzx1UNWJPMTSXj8TH9/9LLkcJYQhXJB+fVcch0Y8f68pJxiIz7PVJVjNs9D7/7Lu9/9yFXW7OFf/vN+zRtoKqqQyXWJ9QnFCX4wBuf+RSL81NS3zHud0zNMuc8u82W/W5kv98zdr29pGL0S1UlaDD8NRn1tPIB5zPnt2/RNGXEbIbvfeeP+Af/xz8yw0F1aJlOOCVlFPX41MuZGEoWWPOsAK/b2oYmBfOVmiA3SrasuWDzZfYFobJRAaFl6LeEalFub4FYNN1wDs4k0phQDSRVxFcEgdGPuBwguzmjgyOqb6luvffGtsJU+lpQphjH4rXlcDkh2TD2ya5e8CUTC1CYOlPvTAzQxom3oICQY1c0OVYFuMIYmm3ufUCCgwgSmC2+NCYckJxYj6utkXEkF0aeVWBagoR9FjmWRq6yffg94ttvE+rqBuZ9Y9FKLlu3CfmmKt6CtdkGSZkjI+Lmrn+eQ5EduUBn00Z6k/o8/f9cPkZKJXBTJiBWQpFiYug62mVPaBbWG3ph/dr/DqzF+bOkCLWz0u06hv2epmlo6yXrvKMbpo1Q5ncB7J2eEiFTrw/EPFJVNWMa0NGYZ3mMNrdo6Mr5FtiuWCUBVD5w697dG84MCh/ad3wInFKzpaOTyJhzqepHU/gfnZ/0e2Jdoxm2jWfB0Sya6XHK5DDh0NEo7buNEYWqpoVhJANtvSpr1p6pquJVSC7Tx4GUI5IsuQNvI0tEyL54tam5ISyqmlercyaXhg0dOyKW9wVCHQjeISpUOEaX8dkTXUIHI0ZNCUwaRva9eTD+ix6feKCZjvxCcHmRWfayY8LYbVaDLcJjrFu12NtM2c600MQWZ7sIpL5jd/WcZ4+esFtvbONPmatHH/DsvSeMg3L7/muc3LbPfPD6q+y3G5rKmmwuBLLzxJipq4p2uaRZNuRhJO43uDET91u67bX5eI0j3XZvm7KzjaLyDl85E+oFw6GdE5rlguWypm4b2tMFwZnZpmrk/nnLz/7ln+Kb7z7iv//v/gFD2ZzMVtwTi0+ViBSzSzfDcajBKloakrXz86Y+qa6n31UyYzSqbEqjTZxEkSEhUqFJyb6MAk7mOutKw1a1zJ9xZk9jMEBCRQmY4SEcWET278m9QcpEP0zwl5IJ7bLNPpFQ/NckozkRsMaqc6GU+VNPISI39CBlMJUqaCT4lph7nJsyZnuFUhxxzheY0TB09Q4aSwImuGQaP+4QpKmRQiswRB2kqLPNxsbjM2iQQqNW0rBm/egR56+9WqjMhx6aJSjHkx2t6lBnnmBT/0BwoNnedTKSpRhYTkDMvGAOFc5Rpl/+uDVUVEqD/xAUpCQOzjlGsXk8KUeIZlVTLxcfCpBSYGpTsN80pzTY1KqgrMr180vuP3iVfb/lW5tv0e+m3k0uDKqIak2QIg72nuuLS9J+pAqBnCMBIaoaPCiQ0jgPUJto9CaejkQyi7ri9iv3qJZt+SRrkE+MumltnJ+dkHFElK129ERj+WkH6ubnNF2zP7R/Z0eBOQdW6ypXwZHHqeKtWD96aq4J1lBBRLjdnDHNXVI17ZFKZqdmCSXT3B7nOYwJKM9WzSQ1uIq3qruzFU4nkRHISSFACG4WbQYcfY6MMZI1kWImp4iSbELwviNqpu/7D6FF/zzHD0ygmY4XA8sf12RiUgljTd7ZN+2F/96E5QRBWdQ13fY510+esH3+nDFFGlkiwRNCzf3Pvk3fjfTbjmFnG8vdu+dch0zd1gbvkNivNyzPTgltzWtvPCDuNwyXzxnjQLfeslmv2VxvuXx6wdXFxgZ5DaPNIY8dfmEMqLqtyyAjR93W1E3DydkJq9WSpqps/GvTEqqBRoTVasG985b33/0av/wr32C7KVix9zMTxjlHwOCoUFG0M8FKfjHIKzcWaOrKU3mPasKJ9VzG7BiTMhS/LzxIMlw84NEqk6MzLUpWosvmW+WsIWnCN+v5hKqZg0+KRvPOmJdYOoJbYhrmjNh0Gxkv4FyNqGHZWha1d4ILbYG3KDCCK9lwnisakk0WlfLOOFd6exJLkPFMbsZmTWT3Zug6muUSUUGSIkEL6cDepzKermzGJfsUEHGFzZQOxqRBy2jqCMFYVOKVJ9/9Fqv7d6mkIhfygTX5JzNHuzfeCwbFH+alHDZ2I2TYZxZacPbgjkw0bQFMC60sH0sMbHctUda54tQLLhnVW7yNTw6qKN5GL4+Rbrfj5NYtJPi5vwolQKnMrgHlQ+fsXGwyDM45Lp9fcX7nNuvra1wZQmenaH3WVHp5Xqz34UJNt9niNBOTYtQwj5eGNJpdSkwJJ35muDlnbMddSiZrWDScnp3Rtm3ZiG09+KDkVNyQQ+DO6W2SDijKTqO5KgRHHIwoMgUku2azrKkl3JhTc6NPpkYVz4VIEJwlfPvtjvbWHVJVc97e4l57++j3HCMjOx3Y5xEZO3tGrrYKRrylM6IQR6LaYLM3mzvUcghAsayxthBvVlVjYnKFTpMNOcyRnErATsmSvXHAOagyDHy4fz6RTD7u+IEKNHq8CF4SID6agcbsj3VsnDl//+hvHf/OuLtic3HB+vJ5Uc+LbYoucH77tlUp9Ui7qOm21os4v3tCyh1V09KPHcvTE+5/6i3uv3qP+6/f49bd23RXa7bX1/S7PeuLC0YVdrsd+82e3XZT6Ld2TlXbTHaIptbvhtm76PRsQVPVtE1DVRnO78WYYkJlXmg4fupf/xqf+9xr/PL/8y1+7xvvGpWzwLYnt88Z9h1N4wllnso0A2TC6Pf7PSenLYu6ol/W1nAGC0YKMStjihaEsqXKIkLUBDFTBzMNtY0enC9zX5Jlrrb3O/rcE4rK2DnTAYmfmDbTgzV2lytMKNzB806TTU/MOSOxMJxStgy8VB3ZlfESCjYkrPxZOXIFJiHZE0JVdDOOTCpBzaGMpi3xQvCVwWPV1Hh3ZJfLfbDPcGIsKtKICw2+bgzai9Gu09uoY5cy2RU9RAmmOg703VO2V1e2Yc99EC0uBpgWQg9Jl7MX3IJpqbQssEzMQqyYQEuvZsZNb6ydaZOcKv7D2phyccBZtmv5mdndjGIN724/sN/uZ4t+A/E9Gq3yutH7KH0Miuo85kMlkPqB7XpLXS1469W3+aZ+qyxbV6oHE18673DBhr4Nu50lPdmCVxrjfD1T9TQHPjVoPcWIlnHf57du0yyWNI31XYq6q1jsW4BvmorVYkUUZaul8e+FfNRDsz7jpN6F7DzqHdexp/XVPONluqtehMoF+lJdSoEDUzJbppRb3mru2RMrjAot1dCoiaEMU8w+mC2SOKNxl+TC5RFNcH95j6VrDo/eYj4LPGNJXEL5ZsARJNtEzqpBa4XcGCpBYnQWvL33JOnYXL9kH/5jCoJPPNDodMOPFtiLJ/0yQsCHGGbHwaT8rEBRVB/dGCaMWrh+esH144elH2DDxFxOuLGnbVuyRpqFbWzDidGY775+l6gdQ/SMj3teu3OPr//ED3N268TU9ZK4vHjG+ulTdhsjF6gL7LcdQ2eOxPtdZzRDSYj3tEsbkDWOI6FytIslZ+dLzk/PWK4WhMpmeygVaMJLayV+gafOli0/9MXXeeu1M37zM6/w7PmOy+cbAD7z9gPWT5+SxpHFYkUIUwARxB2MBptFC5WnrlpSsQmZnkPOmX4cDbqfFjEya0tisixKlOKwkAwndmKeZlLgiGwaJFfV+GJNrnHgOPgjEdFAltKHy66o0O0ZjaNtUClFSJZ1qqSjv1EyLtHZ5DPnzP7ZM9rzcyNBOBN+xjhCtl6GiBjyKpmx31MvTwi+RnMkyNQfKpt71tI8Nwow00ZfKPeTbbslOODKNUjMpKo02kVhTEjlqVCu3nuX1fn5XMUdMzEp/acb77mq6SFKbw8sIGmBQlxp7BtUeqT4VoeS5x7YHHyndTdhh7lAaUYVKL0Om3TrvUd9acqnRBpHQhMQjLJufne2rinV4vH6NdfxQ2DLKJvrNW+//TleX9wjvzWJeg/rPmebAOvFId6jQ0KTuZuTIWEqf++t2rrZJ5LSBzTnjhACJ3fu2MiDKpT7ZXHS3mmlqoQQprkupndLOVovqpBvxjLJc65ofLCmuYOgjnCkNZkity99J4PJ7Pd8CMSsLEsQnPe/OT+wamQTB3PN8OYMQKHlJxSXzaIrq7AIDfeqk5v7aFYWUtFDMQ6FVqv52j0eKc8kaWbw2fz3csa39SzedL27sfdOz+aPg9E+8UADh+bkS/sy0wW8EFiO+enHP++y2pCm8vV0FHhuRF9VKGrwk7MVVd3OWRFOqBdLg2MyqI6FXQP3XrtH1VT8+i/9Bm988bO89fk3cJK5fvKIPEZSHHj+wUMTGybLgvr9mu2zC5qTuwSvNL4lOgiN9V/A4C5YsFqd8srrb7A6W1E5TywvT3Q1yVvTDwTvhKBKA5wOAzn13Ol63vr8O2yunnP1+DEAP/TpE26377DbRR5fbBhFGHMq25DBJW0IrFYrmmVjG8a0oeEIlTXYN+sBFpa5eu/o9WbQB0qfJ5XMUmzGez9BBA7XVLikSLbejKhlrJP9PcC2HxAd8BijTb0J4EQE58e5GTxVZimNeHHFnJK5QSsijHnEFTNQvzojZqNmgq1771wJJqMxraaNydeM+z3qOqSqUXdk1UK2pnL5vOSwAV6lMTvpIshpzuJzNCeCKNjoRWxheu+tApfM8+9+G5znjS9/uUB3VpvknPG10YfFOXxVMUyu1GKVmBkL2MZ1mAUTyhoxeO+w2Mz+fpobw5G2atqQbxAFFFQNusxOwHl8VVZU53GqXF5ecr+tTWMkgtQBGeWGkHHuYwRfWG3MDDcVYXN9zcMn3+PJxUPGNPLWV/4MmYNmI8ZI3RgDKtQV/dWaaT4NZdwGUdHi+TUZcbryTKNmXF1x3XUsli2feufzrFZL6trovFkwSnhxSahqh5fMVXdN507JmslDTx6OtD85mznudG1qjMH9riPUFa3UR6iKAfZo8X0DcMWo1nnSZssrnH7Izd7OLXOd+2Icm20sgAsF6RQkjmiOaIq8dfo6Z37xob/hxCB0wVMX0fq5a+ex352OjBM5SmDYG6tv7G1SbgK0TOKdkpMX9+OPO34gAs2Lx8cVYTfYLy85zKWjZFNyCDgCmBWELSxBSRJsPoWvkOCp6gbNxbvJeypfk+NAHBK+LJrrR4+5uLjiwVtvc37vDqFy7C8vrc+QTTMzQUNjP+BwNIsl/tVAFVrWm2tqB6cnK+szNFURaynLk1vceutzhNMVncBWD5YtIEVEB9lPcCLgBG1qRBuqBYQ791m89inuvWMvwdhUjGlg322pK0eQGl/MHXGCBKN6V21FCB6oimO2UTcn4eQQIyl78pDotS+27QcxodFLre+kTgkSGPqEONPEZOdsYTo3W+Ko5jJ++LBY8774azlT0JuvmNGNQ5ZCZMjFTiaCBpKYgSeztuQIfhowmjRj+QyDxnyozVam6gilwphs9Jn0U1lMCCkJp1LgVRDvZwZvLoad06REFebN3XozxdYnHzbbyVMteYckq5KcFx6/+21ee+cdVKKFhlRU9aMYZDPrarRwK/KHYIt5wJgqoKiU6gkwF9l8BDFFwDO5Cdu/DxuGUxsNYHonYxaICE4FdSagHGKyBC2XIEI0tpp3SAIlHhL0o4RE1Xp6U98oZ6WtTlidLnn//fenM2ASh+bR7mUovaA8vOAgPCbQbOcwwUjTXpFNh5JSYtTMrbMzVqsFi9WyiF1lNgV1YmQaM3cXIxWUd0lFZjanZHMBcP7ALEvjgMho/oJJINyEKadKYtqjZpg/K30cJy/bG9cFNoOmS2a86aS4cRRLJyZNVRnlvXLNh9oK81oAFIebJp9mYwWKQlDPSmr2jNQqbLLBZjhBk1W7U3LyYgVzSEw/+vjEA82LUNlcqZTgMFEmhcMN+7i+jf2wzDROjkroLNk2KQUlE+NAvx/YdR1NXVMvWltIiwWC0QNTjAxDZnd9DcA3/u/fIvnAZ3/0R2mbBhGz0hiHDk2RNI5m7SKecHqGDzV9HHF7EOdYLBpc3VAtW7Rs0FYsOW597sv4RWu2oeW2ZLFmXUJts3PMFhNg0M0xNGg9kgOc8tN/5d/lD77xDf7Lv/5f8/iDDVmF0ATuP7hTIAaMsknBi9VGAJtm5LAp9KOyK/ocjxB1MIuRG2Z6GeesGS9iC7T2gTGl2doFYCgbegjeoJCSnYMNztIx4hcNLtlzmqGPqlQPBYu2xxvnYOc1k5035hmQJM0blUldzPkbyohmjIEzeoNciEbjds7m1wdx6DCiBTISEZIT3BGDKgnznBXVhPhgPYXyOSQluWyVnD+IkSNKGMtskQL3ddeXpDHhTXM3P0NzqAj4UBq+OKugxKAyF8C7GpisTUrFP/+NI7gmF2YdGaGyftS8fhJa4E/z3bKmm8OqGcmKK0lCELONT2EkDWPpt026oxKoVZHk5+BmbwhzlZGn5xI8GhPb/YavffarPL+6nPcCmxGkZI2kpMVRIjDud5ATUgcbASCmV5qrQH9gVQpWUfd9T9JsTuJVoK5r3LHOZzIHNX6wfX6ByVxwkDzON3YNQYB+Pk/APPR8Gc/s8zxg0bYkqw6n7lfSgz7JUI/dh8Z8T+/Jxg3EKRlwwc5TKYE6FzPTkVWznFlkL8Qs+3skc0Eo35lm/dgJ2jVEMuuxJ0/u5dnuYaXCWGDGue/mbjoZfNzxiQea4+NGyc6hn3KTMfby3/vQ18p/Zfq3Gn1RZSL7Oa6vrwsraiDnYP5bkvEpcXF5wfrhM4bdls3lFdvNnn/vP4TbD95iee8eTV2ZBkWUbr+1SYtqDJ40bPDtguBblEjlPH65QFVZLO7gTxbzCxezoL6mWp7gF+2HrkNK1ueKgHCmak7ZsZVsHDN6gHkWiXOez3/1q/z5v/Tn+K/+s5+j3ya6rqPvR27fPqeqTTRa5AHgFOchRlscDofGRFRDjNRBzNnU4hRh18zakdnUUVxAVEl+LAsKaqkQj426LiapiWwwW8Hxh2ijlH03lJaB9Qq8q6jE02eDypITa5YjaBVITtkPPXUTQOxZ1OJJzt6P4M0HTETKRuDIGarK4B/GSFIpDDILJAMGp2iYyAli00SPlrCORgdVFXzpFZQbD9myVF85gzy1jLEWq6iz5CLrKCqZqibGEfFSiCklgxTBV4qonwWPKRdreVdhyzgiYv51xgifCAI6G2WqKuIKMxMTFqbkSoV0GMGsOgUxLXCPuRpQvO9c+YxQNYQm0m13jGOPq8ONZrzZuOQbPVhfziOpkRdStmwcJ2w2G77x/d+lqcpM+/I78wC2OMwi6mHbW/VoMaHolBTKZ08JkRaYPOdMH835wtVGwGma6sZaotwTi362pnLOJE1oxuAq55BuVzRhDXHcH2yKggfx4Gvatp2TKNt/zH/weIgaqsYYc8LYd0SN1DLNRLJ3oneRXRoP2hUxyyJjIhpDjDxQuZo3lg+Q43dzWplqVfWgeSYW1BxXOrbHbBlYp4ExDmjxU5z6XTkE8+qboGGOAuz/bwLNC1XNzW/pITN5yc+8rEw8Plzpa06f4zD4BSAuTvDrNauzuwWiyuQ0knPk8uFDrh89x/klzi+5+5a5tp7cuY2rpMxrCDiX6bdX1HWLOG803HZh9FBvCvisI5WryALL27dNj1I3gJBcA4szXN0eEXwL0wRr2gOWaYEtfim+XJMnmXomFTXAt3/3W7zy4NWjm+D4V3/63yQEz9/8T3+e9fUejYnLi0tuv3pG7hPjOFLHMLsDeG8CTMSqFtSXRXt4Jg/efIvtds3l04t5AqPEKWiYzb54jzjFoybSdI66iMviYFCUk8BY1MpdseTI5dlOG2ZwSoy2kfZpOMzCMa60Kc2TsN8lnCswVq2WweOJWZFic+OROSAMQ5qbwFMQzxrxrkEZSa5BMrgccXUFZeFNPaE4lhkvBAYtg6xKV0TLfPuIx4vpJIwNGct1HSAb27jg6ukT7r3xBpMHmxkbDhAzQkDVzRY81pQubr1UhLo0l8UaulOgnt5/FRspl1SNYOCKyvw4u7YHfHNNurHQkS3xnaA47z11XZOGkX5vnnaUQJgxqE29Kyw0JtceCwSFvTebTpaJp1fPnk/cBQ7/KEsgJryrbCtNce7RTL9reOLB3l4ovSBnjMSIkVKqurbqsgoH9OQFlERV0aTEZD2KULXEsSPt9sTUFwix6EmmHpeCrxtcGW9NOKAxCWVU03AFLHlSEUJT4xTGYaBPkdpXpRRxRTfTM4wF9i2Vu5LQJORkehlFeXByn2oqiV6yneq89x3YZlMAQs3hYk9h1uGgrJWJ+DAUQfixLdK/yPGDEWhgbvpb1mU8+4/+0Zv44Itfm7+uxd9swlenz5Gi7q1WcPcVwn5LVTlT8Ye2bCSO+29/mjxaw8+VJnR7ujSsvkA1IlK8xDCKb1Z821IVH/dpU8o5c3rrLr72aL1Cw4IRh4bWBIkcso/DdcmsQL9Z5Rr2Xjqqpelqn/EL/+Mv8Mv/569wfvs2P/szf5Vf/cVf5+HDx/xLP/lj/PhP/ilu3bnDX/+P/wb7zb5g25YdpyEx1DaXvnKeoUBW0zlFhHWXEc2cn5/yhS99imE7sCl+SYlD5ZizzclxziFx8nCaqv5ECtPFGJPM+8PFTRnTpEgWZ43xWIJWcA4HjDHi/eH1dUM5X+uM44OzDUAjzh3gNbBFP40T6Dc76mWNk0Cc3iEnuGzOA3Hs5yrCZdMXiVMmRms3lqFqYkPrBIc6q/hUzYjQZyUVMaj3HsWmvh4nBxn724++80fcfuUBvi3Nfu+RBDkno/BPIku1xCilQ8PYZVdo81iVUKjREzg0wVC+bFoT/XvSAtkPGV9Mi1bHOYefejfTZpchexCMsVi1zUykmXU/anIB8aW7mTKz43rZ8I8HFk6QT456Q3k+M++wRMaLncvk2DxZHkmywW/TdNZpDc3CVxH2+x4JjtXpCV6O5h1NcO+RI5fBiL7QojM57yCOmGdgIojDV6YxCiWCTkHTRkpkCAcAa9Rso7s1cCINz2w2BFVTI+JJ48i633O6WszXnbTQqksw8WXsuObM5G+mmjhrz24SAD4iBji1c5wc8Oa9RYStDvTDSMqJFEcmi6jJpNTXFXXbEKcxGUf79T/P8YkHmuOsdf7aJMjgZuR80Qn1o/7eHHw4uucvVD6IQTexPWMXKlabSyMEVGZ3f3bvLk04IWYrF/vdgc1Uty1OEj5UiCihqdlfPqVdnRGqiib4gus7RBOhbvF1y+r8jK009FlINuz9Q+f+oesonkN6uCUlQ5205/bC/MHvfovf/tXf4Q9+9zu8+em3uXhqrLO//Td+nsdPr/lf/vbfo1nU/Mt/5sf58Z/8EX7xH/6yeWZlCL5mu9kjvqJqAr5q0N3AMPSmK0AZhsh+u+Oz73yGP/8X/yxvf+FNfu2f/ip/9i/9DOurDU8fPebJwydcPH7Ed37/XZuzAYgTg6RUccWuJaYR0anvEfGS5kSg7xIix9TUNFNIJSWyOzgepClLOzqmbLTSyoKcTP5MiuRh7mdNzC5X1TawCmMeTbBPKsywVIxGq8pDCIDaxl8MO2MfDX/3vvjpmW+XHnulYcQHSgYpClIZvVynZ02Fr6Dfrdmur6mauzOVWDzk7EGNiWbu3ZmsFQwjUTMSFV/ujUGXpWo4rvYVwM26EZuOSalWjgwxDUMttkOm12KGeorJ5SS89Kb56rqOlCPBF+ZaMiW7bf4l2MzZcAm6yESCngPKEMc5AMzvQPDIEMvAs5rcDeR+vNEjUO8poBLWubIdwDljTYZQMeREvViwPDsHHM2inntY07043CyDSHNOSC6Tb8thkJxV+MdQ/7ROyRkXwg0YqxJHpabDqrQugTtTNY0lmkPiYnfYJ8kCAAAgAElEQVTB6WrFKQ0qsKEjpwMVXUsPSXOGNKIp0oSGN9pXDEZ8SYTRsj8Ugh++7BxzGp+1TP00L8Hp/cEZtTulRL1obQ1hz7aqKoZCgjmwEz++V/OJBxo4lGPH9d7LTnomA8CM+96sALjx+y8rh6fbbO+DVQ0xLLi6taDVgaWHhWb6bk2gIVcN66ePGcUewtmyomoW+KVx0HOKaMy0r74F2VyMQ9tQVwvc8oyuqumwl3JD6blNm91RU//YH+z4GmxjmuCyD1c22cF//p/8F5ydnfH0e+/Tnp3x/h9+k64zgen11TNiH7nabXHO8b/9nf8dl5So1jBtmooUBzbXZr+zoJ0pn1XVkNKIRrM2f/78il/5J7/Ol3/4q6yvrmgWJyxOVixOTrn/+n2+UvBjo+8eLEkkK7vdhsunFzx98oxv/vY3ub54zm5jBpbpCIdf7+28nTOIyBcNiUOoQzCTyjw5DOcb1a9wYMENg9GNZ7x+ClZykxrvvTmj5RTLmASH00ye+13TrJVIpcbwiTHPjdRtb6rpEJRm0bK8dYez23d49TOfJrRtEdVNxpqgkjmtV4S6MtozRcAZLaGJQwe+IQ6RarXCVY4wvfclm3SkUglW5NpMSfMYGbodbjCLFlf7AoFW83slMjkpm8rGUbzdBCqpjrLVZBBdjsQ4lIZ6ZSxEKdCzL/oYp9QuINIybPf401DICDI/F/Vi/esymdDspvQGDGPwqFkgrUpWb7c4450jlp6cWzi6y7U9x7L2Q6iJqceV5M2lPGtCVEE0s9vv6ZNyfn7Onft3SBpZrVZGaz6SSUz/dQAeclbq5cpovdHsdzxWeccYLVkJTXm2HlVY1DV3/epGZeFxZIW9jHw/H86/XS44uXXGs4cdz5485Ev3P4+qspWB59rRjb2964WMoaowdKg4Xj25z71wVtbCywkAtsNZr2p57L1W7m8WyAhZYbVcUouny5H9PnByAnm5xFcNVZnxM0arYkUp9kDW80u8fM+ejk880EyL/vjFmY6PYpm9lFHxEYHlJrvbYr7Lxl23H3Yzs6mTmocqBDLL1Sn90wv2T58iPrBc2UNqmhpIOFo0q5XNi4o0bIzxpYF6ccJYn9CF1iLiDcFo8aVybs7m5u8VLcfEAOFl1zl9oWT0Q9dT14EP3n2Pi+8/4vXPLrh97z4XT57NV9zUjoxnHEyQ6n1FkEBoajaXz1muXjVxnybIQqgmLYUDqYAeJDPsd2Rx/Pzf/B/4U3/6R3nz7bf53Jci7SIwUYchF+eCXDJXg/mWp2csT8947dOf5qs//EMMaWDY7tlsNuzWO9aF1ffWFz/HfrOl23XFENTgOrCJjUTjS1ltkY01JErwHp9Nl5PTwX4HDAbNMduCnOm9tgmFMglxcbKiaRpc7Tk5OcH5GnGwvHVOU9iFoakPgat4wv2Jn/43qJslIRiLScLBfYEj49fD4eeEwYUyAqGMIfahpvICrmbwiXGMSF3N/RNwOFFEbexDzpmq9CNySIzdnpxtNLjLjlwFchElUp4OUmBOzWQ8qh4v0QZrq4Cb/M4y3ldoUcQ7N1pDWz3ZTcyRA2TkK+uhJM2EArlJPlB6575bOgSXY+KAMbusithvd+VdL9/Lk0jQxjKPXTfb1BjMOjK5FTucUcFFClRkldvQ94h3tMsTmkVL25pI2pdNWhQbcOqnRNSRk2m8xn4gpYxonEcc2Lkbe9JXlt0/aG9zGhY0EsyJAp0dHbIoWx14lLYgSo5GdsEL7XJpru27HVWG7CCSGIdYyBzW57R7Z0HxxC+4F87mfe14r3ixb/2hfaRsoDbuzwGJk+LO7pAyg0bIKeAl4Stzd56IAUAxBbX+TdYXd7IPH594oPmoHstxpfKyGzeV8rzk91/2O1YJGUSTj22up42nNChVIYrj7P6ryPKMbr1nyEq3fQ5Au7BMcogR1zalEexp2tsl64SuOWMIx86tR1VXCSIvCpym700N1xdhtRevbRpE9du//jskFb7/vfepq4W5C6yW3Hvwmv2CE+u7SKCug83HiWaMh3ec3z5lebKyzN4ZxOQrP28Y3sGoCurwbU3a9oz9yPOnF1w8esaP/Ss/RNOeYqdvGe+EutulH12HGlvGVYG2CjTNgrO7t+fqB+DP/eV/CxGb69HvO/abPV2/I0fl4QeP5lkYOY10+wGNRmTYrXdoNBgJDFvXsplJW9G2rZmTti11G1ien9IuV7zy2ussTlYGGSpFoCkzieRAEjFrnENVbNd355XXy3MxuGmunI9mJt14xsCQbHgdEgjOIW6apOiIYuSLZVVx+eSS7BzqlRCmatFZdkvAOYWcTI0vI9qY7ivFfBhQ5RJZp2VegDJREhZobc6OLSPxDhJIgccmg88J1rKGdAatjq6ZuWLMMaE5kUs/aoIPp7Vom7Pe+HtThTlD6JKt/3h8HJECVGDoOhOwVuaO7bMj+4PnGCL4CXJOGecdgzokOKrGGGH1oj2MKs7ZCCyV6bFEysRVMSZb3K0RX0HbGoEiYiLGmHj9/BXutea4e6da0cvAcx0RhKV66mmcREpEUU59zToNhTCigLJYGTS13W5J2HTSjsNkSycOjWVjyAnnal5f3b3xTr24R7zsmHqocOiN+aLY7HSqrjPjaEJ16wHZ91WVOIyksv5e7NH8cdSATzzQTBWFkQCOjOheqE5mnPL4wkqw+bho+qGeTZnhzf/L3rvG2Jql912/Z633fffetavq1Dl9Tnef093T3Z4Zlz0zGY9vWJMoMZJlR+APRkRcQoKCE4kPJJIREkJCiWIQHwgEgRAf+ISiBEwkAhEoUoRJHCtEWDhBYzvjS417rj0zPXO6+9yqal/ed6318OFZ673s2vv0YBn1RPKSzqmqvd/Luj735/+o9jApPfGGDMopXHHEnRdPWNw1cMXV5TFAXwTL4DAUfGP15klUswXBL1j5eu/EW1+s994guga4+TFjzUR7bC7ro83ikHD6hd+84Auff4uvf/GLOKk4Ol0i3vPtb3yTlx5Y1NlHP/FRvnzxdq7P7vF1lQXWBKHjk5/5MS6fPGG7WeE4QcSq7dk0TaF9au8ItWOxXPD6Rz/KbDGzkrnZJDPhKXk8FuFVNNGd7GHJiv3IbOhncwSL3pkvjzl9YVjdN88/mrPsfW96segg2HYbs1/nMPMYE/VsQV3XVmgNKy/da7tulNhpHe77UIBZhyztXF1TSs7QPj/h2JE8DdPfnZMSSlxVlc0xUNCzUzKY+y4EEKULGxpZWPKn18nzC/Bl6VdVz4iieFG6YJpNzPWOwBCNnTPt04tkn5IZoqOafmI+hh1IJ5E+TFrV5RX1gIV1FwLvnOXD4L3NmUIW76b9Hp3tXuDq/ZBDdGkxOUqlSL4uCbSXK8urCsH8TXUOdfe+ty2bYCm9wNaGjqpuaOY1rhKOcx0aAC85AjAJ6hNQGQtICReUddcy9xWSI9yOZsecuDlnZ0tqGfp7zYZVCmgm3jPmlNLHIsIsF4RbeOUyJVJlGHm+NiFoe3lFR8CpoXfEUOrpjDZRCjw4enEUBj1tQ3DJ1KVgEWd5boQ+oESxcs1LqdhqpKFm23iu0npyWjebDbGzKsI9Mnumlf9MQNAU4nvI31I+G6vZMJYph4ACKI6v/f4du9ZmWWBS3Moi0VxmRo4nm8BVEm4vasR52sUL+f5I6lpmJ7eQGIgp0jRHON9w7RtWbtgA+7SsQlij48Z3E+IkQx6D1dspf8N2dc3l5SW//iu/xna1omtb7r36Ei+88AKXl5e88fE3+fgnPgrAn/zZP8Hf/Ot/h2994x0eP3zE6e1bNLMFq9UV28stX7r4Iq+89sDMQt5TNTW1xl4dtsgzi+z51A9/mt/4x7/G8ckRq82WB2+8zOmd06nWsjPuMZHZ1TL733LGevmsmEbH1zqF4Dx+XveJiLW3uUkCszgDZ8SzaCOSzSchmyrpta0dM0M2c+3rfw8BgLvR/0NjLoLRmGCOGa8VxlZcstIBTTOY5FIX2G42GY49EtaKdxZd5Kntvmxq7msMicO5KiebNkhlMEwa4ghqBrptoGosMszgWYbQXC3WAfU5CsvjvJhDP0BIARc1V410SKWgVZb18hmtXDbdGTJ1yos5rvWSZGzijpRE3X3iYmGC5OgqSYrTRNxuUKdWato7JCSSTm40ehFTjxHXaaKaL5k3C6qqMVN4STYWyQKg5r1Ylt6i1qqYmFFzd36bW80xosqajmttiZJo1HMqc57S0WFh5Y1Oo2a9KJ6KmooTZrzXzECt4qyrHYvlEVfffkiMHV1VsY4driSX58COMkenfrF3L5qrwMQ530c0+hvfoSZMOcnIEyLMqKjFQvTb1BHpcvJvhThweS+NBbTxft89A7vtu4PR7PmstN1B7GooN1qamtNu4KGN7y3Aglk9lGy3dLkYVmgD77aF0Jhq2R3fZb5+zHxWA54oDa2bce0XBPHlwdPxjQhO+TkmvLtq6K6/yZ5YEk6t5PTnfuVXCV3L6a0T/uzP/Tm+9fbXOD67zUuvPOCFe3dYHFu98Qdvfg//yp/5Gd57+D5v/fZbfO3L7+ARqtl9bp0t+Z3f+IIV5ErRmEztEZnlDPdsUnS2SbebyIsvv0Q1q/nxn/wsDz7y0lQogD5seN9aHl7HOFlM2XNfkuzU1BwfJSnbl/P3OdqJNJR67pMdc1GVfYJMeb/XQfMqjGoQDA6Pp+/zgcO2+3fM6xhCoKIiyRCCC5ZP0a7bXpolWeY9jafkAallnloQBdBn7+cQZPVC5cyc5mLqfVYat3StAV+m5HO+CaAOR7Q6QxmSpLB7hznYqyrXyMmlICqtgEiuStcT9JQz6i0dIBWjA1LGqS5HuJXaP/kcjC0LcZjvlAz929AWAFW211YBF29F7wJWxtm8dznsXyzCK88MqFI1Hj+vcA5my6Neoncoqpb0O9ZVQ4qkFPlDr3+Ks3pJQnmqGx7riq41qKomY/GdMqclWgJq9EiVLDotm9ODCLVaWYtOk4V9t1tcLiexWCw4Pj6mqWY8IWtsvsKybrLmnhILP5vQtbJSZEbS0ZKojLFieVsuX2OeOEO/zpuWpFb102kWgMTGkNqExoirGtMcQ6DbBmJItFmjMe7+wdoMfBcwmgEmw5rCxET2vHZI29n174zexjh3YSx56nBFNqOVzW75BJolg/XiBF0ccdwordY8SdCpZLt5riFSAgz6iPVhMQRvEP65dsm+tqvhTAhdTLz/3juc3b7Fmx//KKdnZ9x79T7nP/CJfF3WB7LJQCXx6usf4cEbr/LpH/5DvPP1d/jyF77CV770FbZXa378J/8wKsL/9ff+ES+/ep+qsbDUCmfRVU3NfLFks1rz+NEjmsURd196mfuv3d1LXA9J/M9bv+d9f1haujl3N1CPyzN27t8nDcYRp+tLVe9hiof6OLZbw837dz8PIRAry2kpjMZK7+acmJJM6B3bdsOsWiIjv4+Fzms/E9GZU976mQr+tpkY3ZBs54CkLfgKNOJ8jWSUZpeKRD/m+jKCc1HQlJMfQy6Sl/PKC5PTHBKeo91SSn12vogYirUFuWPmNUud9d7giMysW/JoLIBD+3k2XLb11WWWqiHFjJktOZbUG7MDM/1qSqg6gsKsqVkcHSMiLJcntl+cmim94H8ppGjQLvfOXub1u69wXC9YEzFoyWT1WmI02XOUy9UrQkRCVNoqhzAnYUOiEwF1dJrwdUPaXJO8A3G4quLug/tUiPmc+v0be9eCE+GVxb2bKR5qUDXFuW9Aq2Ll0zHzYlKhEsyQqYbMvtYcoqxk2pWz/jNcUu0WII7Urtl2nWHFhZaU85xKsvHuHt/XPnRGE1FbMEl4tYgclT1IzkW1h8mhHh/osYOxXDe9xsI2y2G0PI98uKDf0BQ1VcwePyVSwlYr3m5lYIqCgSOWzQq9qrur0fQmAq12DvS+CKXyzhExE3j949/H6x+373wqgQXFxp19CCV0NCSSq5EUUPHcf/UV7r/6Cp/9ic+iwLP3HvG7v3nB/Y+8zNHSkHF95Zgta549WRHjmkWOirlz70X+xX/5j/PGR18F2S8M7AoN/eErBH/0WVnHknS3e/+hploI4jBnniI0ZLNoNqFlV3cOVBhN9/NMterAPT8v4LCWU/p0WMMpjGK9ubaS3Rm9OkXzTS1E6LpokXKASx2blRXXQ7M/TCPJ5XGLmOW3fz4ImpNdI5KBH11dQTSEaULAV0JKLc41IGIVXHe0ywJC63xtjEQCPhpzDIS+TpLVjMmZ/nFLjDUu+/hcZvya3BAdVll+jnoPapGQMdFrN8Ns6uR8b1Zbrh89yhnsWFBkBDQhdYWqJVOHLBqW8HWahtmi4fY9K8VwfGo+Gk0YgGveIzEFTu7c5uT2HZZHZ1z5SI1V5dwS2Obn2yawiKumRwYQvHi6FFCEd9OKlBK33YwNyRztBE5kzmK2IGzWeA0kBPGOV158DYAraXucMc2mxrlveHN2d2+MUJerfiZxbDXis0ksoLSYxu5cRdJAkwFk73GSwWjt2m3WhRoVjpqGNrSE7RpIxM4SRFWV7WpDDEpM8aBFZl/70BnNwEhcb1Y4aCbbI1mmdJNA7xKQmzb30fWaCeYEjSC78PYRIiA4shSV7y28o5gBRwxyH0EqjG7crRLx1v+dzRCW6e4mjvTxAgdzZhjBiTl7O5smoJiAzOaOZr8LKZtLEidnt5gfzXIJZU/x6NeV699bJO6zO3c4/+Sr1OL63gy2/RGDKTXsx5L8zs+x6XAcgbfX9KSZWIz8KLtzEdTgR8ZbIclQ/2N8vUcsTHWkuYxrs4hYZv/u2u1by5vMqqzjdA/v7gfViKaKrXQ0WuVIt6JxW0ht27YQIgk1CB3FzGQ6RPcFNdh/w9Ka9scEG9/X5anqGVSx16hSCpCShVCTaEPqgwVEhKhFcClrZc52A9hMfWVUX9cUE2NKAVHfm89UNdcTyuc6O/01pX4viohhDpa+5y0gYrBAY39mt9myuVr1wolGywcrWii5RLkxYPNQxNBBZczSSUVd1xOTuiaHc4A4mnmF80pKgTZFtBJazUHAomw0oGJJvEXCfxIjL81ODIE5r29IHSqO2lW0krjsNiyk4m51zIKGh+snVE4Im9CPe14fjTZqAuwcIYn7ze2cjCo3hLVKvYX+a+wre7YEuqJtAl3qqJzDylKH/t4tgZqKGscCj5eK9+I1oe3yPqigTjhVtq7tfX7l/Kb0nQmHHzqjsfDiwZHvRDKxS0xIhAw23OGjITxSDny/q9UMnw02YuuGoKIZcHDaxkSmj35Ds6Es+xRGDHG8CcZ9OfTMQ3+Xn5M+9TZuEC3JhYkkhuqqfR9SP6eoHWyPmJPYHB6W7+Idr77xEUR+laQB5yuqZA5qxIqnFbTd1dUVgiEW57KZpbPT8Y4CF8bRgpNCW6M5mTIkP/nb5mUY+3QSC7Ggn3UdESnVHlglIwtYfZZ96xBjRKgz47R/Vqt9FNzBYZynfWu9a06b/p0T3VJHlxSpamM+qoTWkgG7bsj0BwM+dSOUiH7cWpzaFZJyyeoRAx36lfHKUKoKUnKGDhGsGJgTGTGA2pCame5FcrKsekNqMMggqJohRNvgciIpWjRXSt40pR2BZDyLrj8/o3onPfMoYbaO9eUzQrvu+9TXJ1IgO/+LwOcVnHd0qj1SR1Aga1pj3xjA8fGRaXDqsl9IrUCg5gg2I0sYwlIiacS30c7DDGg7O1/ZpFf7ihdkwYwarRSS8mj7jFVak7pNX2pDSWgKNLXttU1sIYUcQAG3q2OOpOr72h+HvNcsWAhEKhIhB5xYaHalQqU1G7el1QgCm3wqnuiGmXi2mLBT5XBuEcloGh5VgXZriZ2qfdj8sJ9zWPQHRJ49l9Gcn5/XwH8HvJGn8j8Bfgv4a3mcnwf+/MXFRTo/P//LwE9jxtd/9+Li4lef9+zSXHK947XU2cBZ2J9kcunQPYdmn5R4U5M5TOBTNivnqAyX0VVHJp7xO/eZ6vpn2gX23Ixx9jwt65A0vPvcoumlnLDYj1VrU2WBKIOz0CchitVrkVLLOdlBFXEZTHH6bksSdbz65oN+vBFomipjlAmb7RaSsF5tzLzjwEx/Y1Ph/jYWBA6ax0YMZFdD3Tff+1qpJtmXXtmZ25QBF93IfqYC4iIET8LhXKTkMrkE6nJZ556hZkZ4INhj/Nnuz33MKWkANch4uhbxFoCiatpuWW+RIbmxqpobCBG4ARJGxRsBJItqB6cuY79V2md5S4omVOTSwimImd/6cZFl6hroMvI5dG1CdYuvawyjUnJOk1hQiQhEE+TMHJR7kK+dAOYmM8vszqUJUYH100vDmUudJbymUZ2eynyiHiHK2Ndb0CFq6lzssPhUx3urjYE6n/ekpmnMxVtWP0qbIu12g8SMb+dMKKpK5B4xFz8DxBj3k+6KoC0tibhZoyEM5lw/lKpIUZjP56btxYREA+Csmxn36lt790/5xEs20wv4LCyZgFqjznDWAjCjoVLhOnXkGA+20UK2lxmZe6MdQRK+FISLEalnuBBAtffXFU1J8sb4oDP6QRrNnwbev7i4+DfPz89fAD4H/BrwFy8uLn75/Pz8vwV+5vz8/KvAjwM/BrwG/M/Aj37As4FsQ899TGpZ3L1NNvtJekKmN4MgP2iAh7ScsYRt0q6gLgdNS4l99zznpE41HUxdL7AyRdoYM8OxRHvYpLZ/XLv3O5HMFDNOWBKiz0jEDMgHSTXzvuncFU0JEer5DOcc86MM6Ceph2MxCcbev1lZHL2vZ70/qtdmYKRhaCbYlm1uvir6an6Csqud7Er+z239u0f4U1Iyw6chzrvPGkiYQ5Na2pxkApoABPXZn1Mw91T60s32vJGZdcesCfu1133f9dqUbImtTWXxM5VbQhiQnrertfnQ3DR0FnpjL8U/NO5RmaUUjJH2ptYSjySgVgUJcc5KUVtnDSE4CzyUz5KNP7kE4tDQ0bYttSpV0+AqtfLOrsJQx8VKEpT1n5wLM6dFAWJEMP/UeH3tHEZUoFttSKHDOUNIdgxYib3ANgISBWM4s/mcqmmoa+m1oBKuW7RmzxD+boKJElLiylmS4rrd4JJVs7R5TQQ/R3MlVVxlpQJixOPYbje03YoYA76e4+oFMW0QLcJETqgNEVXzUUctqAGW63W/OesZ2fPaRNsRQaSmVmVFRyQyV0eQCFTEnJhzHTpDDlHhCRtDW5csnCRjMpX3JIQ2ZOT1psk5TIkY04QmPe/cyvO+PD8/Pwbk4uLiMjOaf4xpNq9eXFzo+fn5zwA/BVwARxcXF/9pvu9zwE9dXFy8+wHz88Gi6h+0P2h/0P6g/UH7Z6XtNW48V6O5uLi4Ajg/Pz8B/hbwF4G/enFxURjEJXALOAXeH91aPv8gRsN/9Qv/Zf97ceCNQysKp3bI9HOK43vEzfeol8X0te+aYlPe/W5sjitmNoA/88d/lr/+i3/t4Ls+qB+HTCi794//PnRP/539MfUL5ev/1T/2r/M//cO/2Wszz/Nh/aP/45cR36Ah0nZbvvn2Q37zn36lj2iLXWCxPOLf+ff+Le6//tJe/wNww3S1+67iEB5n2BVT0J/6yT/Nf/+Lf6Ofr0DC3fT/T945npusQ+29djzWUhRORIiYVN1/nxN3reWKlhmCX9207s+f/Il/g7/5S/9j1ojSpD9DqWQ30gbS4IOSHb9igMvLFVVl+UvF0Z26QAyDw3hxeovj27dzaPFozykoQ+KrRgMVVTUQzn/pj/4J/vY//F8me0oLbpdPozkQfDXMVwn1jSHlujIWtDMeawF7LD4mcYnZ4sj2jvOgVQ8rU95R4GtSgmZxZKZVtdIQl0+f8ad+6l/jf/2//3dC11kSYxdpN1u+8Eu/wq//nV+0aL1ZNVgQilnHDRaQ8vPq8ppvLRe89OprfOqHP8XtF+/yg3/4BxHqXquSSjg+mlNXnrppcvmDOZVvOD65Q5OER9ePIbWmjWT/yt1bL3KknhN3xLf1kjWRLiMWpKDQXdu6ndym0xbU4VTYbK4JmzWOyPXjp6yeXfKjP/BHiV741vYpDY435ncn+3lsov4gWjJuqhb+3BFYScfjuObj/i5f0SfMxdNpssAHgUqEEK0Mg+0doWtbNtfXPHv6lPffe8Szx88IsSUGg6UJXdcHCfwHf+4v7O3DB+pk5+fnrwH/APgbFxcXvwATrfwEeAI8y7/vfv7/qcXBhjYQhVjiw3VE3CwRa+qU0omj8aY6l2EmJlFIN1FbJ8/Lv5sJeMDu2v03vHMINLBnlO/dJFLjkJnohu9HdUqgd77rzWH6fGA7BcbldPfN0Xx5RMrOZ8FRNcMhtMqSZgtfrTZ5LHFv38bhqOP37GK7jZs5tgdbvJSkv9Et47nbXR/VAcBw33XmkB6e1RcCU6UPzU03zXF9/pNWBLWxlRLJhcCNo3D6g6+OFEGTOd8t9mdwmpZrhn1r+TJVVZFSIgZFg+1XqWqoapz3VPMZMbRs16sJtAyjdyQdpQYUvDMdTEpRpvhiSOiJPmCYamphv6EbkAXEgZ85XA21t0J2khSiRSXa8wRVTwwQt23uWAbWTBGHGkBq6nL/MXy10byo2jOtv9ozwGKqbFebGwR2AqMPvUmYHIao2WepavkhsS3RYUMipAu5Xk6u04MkNAQrgqdw5GcsFktOjl7g5Pgei5PbLI9vs6TBSw4fLwEpZRtIynBJnhAjkgzdGQfzxTHVfIEqqDiSM4TwBsesqXlldmfqh9OpqvCdMplybS2OmTbMteLYWX/vssCpt4JtzjF3lSV9dh0xdLmuDhAjmkIfCLDPFYC6557xDwoGeAn4ReAvXFxc/P388efOz8//+YuLi18G/gWMCb0F/Gfn5+d/FXgVcBcXF+99R5OQ8xvGRNU2lhmqrY5FPxb7qVb0yKK/6DWdYqcukzsmRkUyNUDAXi6gr8E+en9pEx8WZ5UAACAASURBVLvvHmZUNKLhd5M5LJpFKZbBqfRRnjfY01WHyKwpkXb9M8bv7ueu+Id2+z4m/KONsAsVMzTPnRde4O1nX8NXDRKExaIGDMG3wNjLTHjv4fu88b2vWi2OQmBH3VKsqNdQ1ZG+ImMOUh5AFMfO2LKGqYSfZyd1zh/URB8xdnMcA3zQeG56LWuUjFda76tR20+HDq6KJRV6IKWYa83plFkpqIyjFUcBDcm0TUmSpe1oWdhlu5TeqGO+nPH0ySpDvAhgfrKqzjknKdFtNkiwLP3lySnOZQ1ME0qL5nDTEkBjGmSeOEtUydW3E85j+Suxy2GqiVBQrvMcOucsTBlo247NpmXbxUlBsQHrzIrSiTNQVt0aeKurF6gzTU3Fgn9StGNdzeueQDmtCHHTa2WOaIES0IdBP/3WuzYmbxVGxTkrD0BO/nZ2BgtChSalU2XThQz142nj1vaeSPaHCeo8KSS0UUuoLkgIqlynlkDiqDqmJlJJRZ0EcZ41HY4AVFzT0ca+BGDeKw7nM8pz5dCuJbRbG1fs0JiYLeasLyuutmvu+hmvu9s3NfOJcMTB+jPPa97BUapZZsa4pGGGEqksoVQDQkVsFJe8CQlRCWqaueCsEGRupTopDMETh9oHBQP8h8Bt4C+dn5//pfzZzwH/9fn5eQP8NvC3Li4u4vn5+f8J/ApGT/78dzr4QqiyfME0XG9sFtD+YIpIn5WqUkDxiuQ2MJH++b2ZqYQG+52IFCbXlnYoGmzSd0k3rrGwwNT3YV/k1PSzaS6J4Val/hBMCNcEvLF/Wv/7YNoZNLDxO8fZ88MzE7OjxWDOEqWqfQ/tLgVkMcBqtR6Ia393ZhqZePZgoWnQuICcP2F9K/kA/RgK5U8DgVYw6HaYOMj78F4pprqdwAKhD6/enYN+jovyXIRf9jNyA650lh8abW7GASz9O3VYa5f7Np7jJM6CMgrnZLq/RJJFAGoc9XwUhadK3LSkqKzDNYva0zUt9ayBDKNCVAST0BOmwZCdtlCiqiywwSK9LF/EmIWdhTxyA/kUQb2w2WxZXbe0ccgIL33b1S7BnP5NYVJ1RaMtTeMsCs65HjrfeQtKKOY0pZtixPWAna4HFI1hM1S4rXIZaMcQuSaD4CfOEbuOpGJrmNfEjbTWchZiTuY2FSOCm9t5yOM7ljlzrC8b7YjimStsxbSjU6BLMdfiyevrXdbOHJo6Yuctb8l7dLuiIFmLg2be0OVqrQUbDqYmwMEEZhBZjUrPbJ6v4QzIkLuoAhWCdzWkjkYaZgSSUzoXabXL4e8Wbh9jpG3bG9Gj+ywuu+2DfDQ/hzGW3fbje679eeDnn/u2Pa0Qv/zHTbTi0QEeh0aKYsliIxOa2cldv3HtvpsoA6o6iaHf1Vyet2gHVUfGhGManz8ew+EFmRKX8nPQlPqnTfo4ZRolJ2na/0Pa2Lgvi6O61ypEhKrKwI2YSdN5EKesLlc35gJyhKDmTQeDhqHD2DJ/6gl7Wc+JRrTDRMbfF+ZFmfvy/OLzcaM1zC86tJ6Fn9k8MNJ4x4x8EHzsvVkzkcHHMMxhuS9H2CX6SMnCzJJa1FfKUDE3zaaGnB3DSBspEmNKhBT7lW3XK1wluOpWTl4s7KlAxuTU5Mr8awDeW7+9L3krgxZZNBMl4XL/Qoq8//6zmwxl5BeZEhsbk1cjupEWt3GsgKOjwPHxcV4319eeMeaQKFD0pa9Az0DG2lPYDmW5xwXsNEHyEdGcJOoGJobLoc11naP45nm/ZlObc70GKN72k1P6JNIjP6PBUamnlYDDqnk+lS1rInUG4hQRq1sjBR4nIDH04dBSNZCBVMu8qyialHpes15fU59l39tor45/TyhbMYvOVoS5OpwIFdVzNJxDHhILOReFmdSowEYBct2ZYGMKIdC2Le1mM9oD03d9kCnvQ0/YHHPHckCNRkwRcAvBkSIGi3HzhPYQ4mWBx8xgLKX1Nvde0zDN4wZDY1dDuUm4d68vn+/e/50wnF0NY/zdkPDYP2WPWbD8vcuUDksbu5/NZoue2MTsV+pVYw+qDRHl8vp6p3/kOfSjPrC3HzfmQ6Y/7YHal6xNhQaVv8t7iySYJT8ZRL7ps0djHyM6T97Zz6PADuJuydLPOjZghMFGN5bq3MQ8pxnmwwjK9DoLiqUPpRYxcxq5hvxs1nDVro1ox5J/VO4UI2hUpBjZrjd4VzNfHlmmhzorkJUZfkgBX9Yxv9mLx3vzwZjUDy4XTzOiXxFC5PGz673S63g9p4wmh/ar9n4ix2AOvr6+ZjarqeuZ2c2cMUFKPRwHsTN4nL48QwRkWto7dgZm2cMNyZBrpOqGHJ2yMWLiOgTcwnF0ckzoElJlouwgRqXxLpdAKBhylkm/aBaElAxTTshwVaYFgKMhstJAJ0PQfLFCiKiV9EiBLldv1RgzclLRIgWNtod9NTPGvCskMmU05mux/m5Sy6XADMdcoZLnMZubrdOYQ7rz3I7N9JLwvqLttpDDzWdHc+abOXplgvo4fWA3GXu3fRcwmsxUxMjGmHBaborrtZmSIwGjjb+jXYyJ9U1ptkjs5RnjDTIiQJpNQf3ED76S3Wf2m0rIsCtQiMu4XxO01Z44jYjcKGrp5jv0xvMOtf2S8gdrVVU9m2iXBiM/RPA0TUXsEuurLVOfVuoltOf1Y3eNDmqDhWHISBkqB52bAkEZ2z6JSkfPKIDA/ZqWV/fb6Ob9kiT7l6Qnan2fbwQNlN8dKaN/D/vLmFT/e88dy7oYOCWS+tLPKYyAWAUSReCwveKcgxBpt2uq2uVMbu19NAAu1UQJI/BNMXRu41oDYoP3xC6yXrdcb1u6HEU0nt/dn2YGNcGmD4LZ0XBgqp0/efKMu3fvkC1oPYCmiPlIQtvlGjZ2b9d1eVyhN7epGgE3s5wnxZQ1lRaf8dj6GkgYkncXjIEtlhYJd3S0yJqVaReJiCTTfLo24kSZ5/MgMbKNgeCURYZtMpYd8YwYdJkXHe2HtBmCHgyKwSwwvrLkWOdJPpGSoQ/cO3uxt0wULWSyK8Xyg+ZSZxBNEJQoEFSpSJSyANah6QMGeczOSz2KBBx2qWbU54bglE6EajFjUXtCCDSzmq6zvCm6eGOdD7UPndGADTypjpy9NhFOpoSl4DrtEs1DWFkfpM7t9qEwNESyE7oQ0Sku2Tg8ExJJXfZRZGyi3j9S+rGvX+NnTs145ec+hrOPUewy191x7fu5e6+IUM9rUqtEX+VSueZn8s7K5SIzVqvVDW1q31weYoaH1kSnk2W/sqMXPYfBPo/5Hhoz3NRsxi26XaQBY6zTZ4/3Qj6qOg3iMC20/F7uL/tK6R1U2cl1tKy5empJew5DDhA8vnYETQbgmqXQsNkSZgt8LSNCPxA8GZ2rqsrajSjiTPYV53j27JqrHE0ITC0JB/aPJfnvmJ9H8z0+o8Vn0bYdl5eXLJcn5FxPEyhUSV0ghTbbS/P8RytdYWBnBqFUIGZ8ZaWiTXsyUE68Q1Mw02T2W2qItDmRt4SEH5+egBiKgGlPOSholD4RU0cSiwrbJjMlGXaapboGhJaQw4MN2iVohuQveyllrdSBBoN3oqqz3yYLIsECNxaLE148enG0j2426b8VGoQ6m7tK9e1eOpOdG/Jn/cejMz9uDqFOnoVr6CTgSbRVxfzomKunzwxuKDpjytw8V887gx+ccvr/eysSdPl7lNcyzrVQ2wi70vokNDZ/NjXH3SSwN9X+aWhsSgmSIur6cN000mhU4yjcejTpaSqpx7zufSj0KJx6VzIf9+nwd7JXchgXt9ol8vs0gN3vys/FYkbEHMRFBXeuypgzEOKa9Xo7Ap+cMsFDjG78+b4w78l9o+9SlpL7fwfaB2l5z7u+/ynTf9ZZ3QOF7kb/yvNKqHuW7hnq2dv3kd31LZ/tbd4xXxp2HZXVjfHe9yHQ4qre+e3wbDebHtzQ9u+gCXkHVa6Q5muPeJefV4EIz55dc3m9nuyfQ5rz+O/ex5nBBpze3MPDvtR++S4vr41gZVMV2TwZ2s4qXI5s/6EtMPYWCVd8M1rliDMpzMMYkVWlHST6Ipx21FRHRzjvaRYNt2/fxleCEwsRt/HmvCKsAq/Ng6E/p9Bl30wxm9EDU4aUhgjGODBpowfmSwk5Si+lZOgMQIyWH2Xar+P101en4cwH2q7AWvILRSy6cW9gqdCbm3efceNSsQo4jXrmWnOvOqZuZmg0YeB6dclqtTJEZ4ZIz0NCZ2kfukZjhDpmM0WRBK3DFuQzSPbFf1Nab2ZikILVYFiJGTrDueH+sfNwrBkMxc/G5iyrqy7JnJe9xaV3LBQF32DVRSRrM0PfvDIJYEDVHMnDn8A0uIDRdzcXrld+R5+NCd5Ys5P+pyqTsQ+bwuz/KYeKH5+9wKPHX7XwWmcStMt9cU1D265YXV1z9XTFydnyoCY5Vv33Mb29DCa3mOHfVRU0V2RU8yVMZmLnwMFUEj/U9pkkx8S12JrL04v/R9EbwQk3x53voUKzIOLUjLDliaUsxXBfMauNzWtQ1x5XV2zWHYxNhkA1a2ysSdHaNKqnDx9y++4L5nPphQSoqgFypYuOy8tnbDfdjcqnw3gGM+74+71ac9z1sY6J2Ug2yECwRbt5+PAhH1l+xEJ8twY5o6oWDQd9zlOMsUcRdpWjApZnp/ivgjRVb0qVSih5EIVpiBh8jnaJy+2af+6HPk2MwsfPP8by3rIXGnbpgeCHPRLNn5PChqdhzayqLW8GT4Wyki1bDTZOgUjMZTsiqOUXBQ29iTKEDkKgOjrJlSotEvYTL3+CZg+s0L72nVhpNC/AWEgqwLgf1CrnqGgQhEDiEdc8ff99Hj95xLNnl2gqftxsXv0OhbwPndFIOcmTUrq7WcTFFrx/QHZ296lzid3w3jFRKRMfc0CAaMnhKCaR7Owm9VDrBXSzVx/zs6NgcIuS8FTEnNhX+tWzh8ygJouuA5hnHybMfmJa+ja6efT9rh9oqtEcklDLd6enx70frAQG9KGolXB8fERSWK1WHN862stEcm97QrvP58TB+4a5KGMz1NxBIt591vPGtHv9If/U+N7d5MvJ7wfO6e477LMiLOVqkoWwTxNoGOK6Y38GXMqSoijNzLNZxxyh1VjeDFB5n4t6RUAyvL+Zx87u3GLZzAkaWK2fkutU8fjx4zyrUyYyxoWTZHlPfXi6TjXRMjY1Vf3GfE4k+jI/O8mqqvDkyTPOzs6MGIeQmWExPQ5rmFIyfLeUyxOUgnAmiWUBVBFXkWQwRapWJI20zkxezXzGnXtnLE+PqanQGEZ7sxB587GWcxhjpK5rNERCu2VbdczV4V2NS2ZGizm5mAa8ap+/Ixp7gSSllOv/GKCnU/NFRfE8OHuZugD7MtCJD2IJhzSIsbUMBhGmhPxH1V4rO9RCSgSJbOi4Ti2brkUwTVhmQogt3guxg6S+j0L8rtZoSpU7jZKTrRjs2SogMROZwUJp15SwVMlHeYAH7w9JRh+2ZtKUq8w2IpKzybO5y/sclQRZM8kSWl76OLJf91ExljVlvdIi9ZqvJokNRMCIZ+lJUXFLX8tEiJGiVMJj+49Lvoke3B4fREBhPwHuNcVMaI6Ol/icXKZOelRYMKTaajHn8vKa9dV6QLkeE5Qdq55km7Egk804qfUiA0Hp+1Xs96Pn7xL/fWMbz8chP8O+Azqev33v250/lemhOsT4xsx/6M9Y691lsvnaUfecg6ZxtG2idmBSeNagfU0MG/usUd5481U++cZnqP0MjydoyxN9yLe+8VbuQxaGmI61MBlVJRULwA4qw/D7yKw2YkIDxJKjQO0PaBRF26G//tH7j6mrxspRAJYScBOmKXYd9awx8ITkOD07ycSavvxzSgFqMXO3CGAF3ESEtrOfIQTuPbjL4niOryskRsvrGfnPi/8nRSX61CchphTxoeMqtsx8TdLOirPpzbLltj/SEJWYYYfKuNFIu7Z0gUoq7s5eYHQUJj+f155H1DVrM1FNQ5xYbw7dqyYQbIi0Alu2XIYtq9U1hEhMoTfXelejuslrGjPi9H6zfmkfOqNRIqSp2pjyoDQnJhVJo9yxTzMpSKyuaAzl6h0CkqKFq/bmKrN7mbruNJdhztJSipBV2vFhM0Rkk7TlwLYwiUWtPG7fc3rnbo9qwJSJJDVH7fi78f3jt+0jvDdNcMP4rY6M5TlA1sL6pEpAPLPZnPV6beGnTvGpoL7CZn2JE+H6ep0l2olycuOd/dhGG/uGxKt2GPt+FhSIEbPZN67d9xUNbGq+ucmADvXreWPY3W/j7/dpOSJG9EoCsn3op4oMResZm83KgKcH1lfgM7KDHz1TCCZxq0VJfeajP0ZNTowEKmmo5YiXXrNyrLNa2EbdebwzYpE1eBOW9msWQ3TZVCuzxM8C5+IQJ9M1HZ3drIigKfL4/Yfce+lBlv7dxEwOtle6rmNO9hVWAZ+jwbwfIa+LCTJFO1GNlo2vkYBS156TkyW3bp+xWFh4dcrOeMmIBfbOkXCSShlq01JUEm3suHJbZuJxCTYS0RRBM3RTP06HpGB7XY3xhvyOUrDN+5plfYRImZPvhL3s7p/De1jVyoRT8quyQKljKXZ8PZYI+ky2XLUdbbcmtDlARM0MGTrzubVtIHbkwo856EKYBFPstg+d0cBIWkzZrj8CLiyhxYek2dKKCq1AyuGP+0JX1eKpe00BzA8UnWT9MjMhIEne/NzMqFUd7Pk3zSZ5PGYjm9x3Ay7m5kBuEkhGms1OH2R0HyMmO2Fi+V5Jw++qOjLolLfAYrlgs9mAKlXliTHh1LLJy/g2l6veX6E2KHuX8d6DGscNX1R5SOn/zmc3tJs0PK+f85Hms0+iGt43iK57zTs7gkt5n7j91x/aj/11MmJQA08dmhPLJ+n39zhk/KbPrqmFdhspme8VyvL0iJdeuseDF1/rTULlTTFL9Eu9xRFLAH7kB7+XL33lmzx89wkhFUY3GFkGuJcRE+0BM0dnCDMLFxPnJMpO4gRXbsxs7F+JuILtNrC6umKxWJgjfo8GWgIKqsp269HpkZlS0xCe7b2FdgfMlOhz6Ye0jYSkvPL6a7zyxgNOTo+Yz+c5sC3bQTLkvRRfoOZtUuYipN7kLUm5ji0rEaRypG0wQluCY9RKdrgUsxBmodgxS2S2ppFaK4JTlvMX+b0wmNIO3ltogRrzSBmiaYYllpZ9ts0VOYtP71oD7109pW3X2WxuZtmkkRAS2wwpVDDPxubUAQ1lf/vQGU2xWZsJrIRLZvXb5H+m5oY9quqOJCSSa5KMrhvfWyaphHhS7LyF+ZRnZcKt0MfD7yU6Q4cG5pWfO35/6UMxI4z3Sa/ajvCDEFPt1X0wYyoyLllzcSPiltKoV6NQyAj4/m/TtxbLY548eoJzLkvLXf8q7z2pi1yuctKmDkxtnHxpT7q5Lr2LvaxbKu8dja33yTH4EvZoN/3lqZ/t0bSNmVmeluSGSWG6JrvayvAizcRxnw9mv9a2V5tkD1FQ7QfVM2e1fIqJE1eLaSsyd9AsKh48eJnXX32T05MXmNEYdlieXTtPAtKR1BElUqkd8zsvvM7izm1e+eY7/O7vfp0nKwM00TQwxx42yJw19lRhggYwRJgV/9Kwp7UIi2QnOSXCLpulkD6vRzU7yJmbaXkkvI2WgNB2+EZwyVMtlxnbzJizI5tJq5J4WArTmTQfBV555VVeevU+R0dzfAaHJQ3MUVwFbkQ0dfCTlui61AWcbFCZ48STYrC9J5oJcumv5ojVaPtHMPM8NjbvfU4icpw0Yxzi379mFNTWZCZVYTWoGEL2RpQlDe/qFS9xYmkkAu+Ha9brtVljfB53CKxXG9q2RSpP5YXkhW2naBcN3kfzWvjDAQ0fOqMZMwpETNLQgj9WPBuDNLoreY6ZyIRQ6EC+DDdTJu+0ayyUkfwW1ByOTkcJSHukht13236TG8L52C7t3DDO4f6d/lDe27ONTMlHjGo0xEErk2wOsY1dzIe5E0PfUtF4sp8hZeKAETOfIsvTJa5ykJSqcoTgetOJy6aFq8tsn81SeypMp4xVjfDdWCcdaWbjeUjDwHbnqB9ztAeXhMSiHe1ru/fbOo3es2Pv6k2oB9ohX8347919uK9v+4SFfm6cqYNxBLHjEGIWSE6WM37wUz/EnVsvU7mGApdTkNEk+WyATwQNCI4KM9elzETm7pSGJfWDhlu3TvnyF7/KV77xhK4EJIyrr6rsmLUHxqdqeG9OJIdVl3+K+WWGLWu/j4h6XpuIoXNvty3Hx9N1GycNJ1JvgvJ1xfLkOEvb+ZpKSMG0DfHOgF6dkGJCK4efzXHOcXb7mKYxMxlJ0RiR/uwnJEao/GCOUyiIxMb8Iho7XCfgqyK/oHjUN3lsA83QNJL4xc5cAUj13jOrF33C5NRs+vvTxufDk8FOMStNysgMD9xpf2YF5UF1CrchpEAKCZ9g7TtCeh/FUdUzqtoRdcNsVtOuNyQRECGmRLNbJ33UPnRGM8UcA4MBGao6DpI+7AuZHbfJAS8nlGwiUMspmNIY2xATmhBLCLIlbfZRJD3z6N/W9xGwcstKxmZKo4XWPM5dBjl+zgBhMjZ87RI1+m/y7zvhvKaFTa8xVJAhLjxlRtQrF/k/Q5qF5fEJ9+/f5+rqGSenC0LOUG+aGaFLtO01L9w76xlHLCgIo/emzIRSv7YD5Sljipp6qWs8sF7rEZtTh/QmmhK4UZ4z/v2QpmttGjoM+68frchEg3qeyWycU7SP2exbw3Hrnz3y5ZWk4aaC7zv/Hl68/wK4CsKWq/A2zi9o3CmVeCrmuGTHeMOWKIkak5ijRKKYKQlgxpykSl3NSbfus/yhV/j4Dzzj7be+xBe/9C2uNtthTpPLDG+UX5MFlVKPJsZhDOP12PfZ+G9VNbBG4PryirquODk57a8t4djF/9JuNiyOF4gX7n/8TepZTWq3/ZmsqmI/xfrsBC+eEDa8/JFXeenBPZYnRxllQIhqpa/FmclNpEAM5eakDzQAUKekEOjaiNcOH63KpPgaUrTzNM/aDGlqWopDEFHJnaqqiu8//fhIiP39T2dUGKCZ8o+tRjoCVQF1HUFHJeCSLXhhWc1ZNjVzaqsJ9T2O68sVztvarVZr3n34lIAQnlyhqty6teRofpidfOiMBnYJw74s+ZJ9PZjRDpnMbkiyaphCKKRYJMdyrRGgcY5JaUlAC3MYueGHw7SfIRSbcoELkd4pOjW9DP0lX9PPxs73hyXt8u79JQaG7yeEUgdTziGT0a27dzhaVty6fcbTJ9fUbsaTy2e8/ZV3SFE4OjkeGEJpbgyOmj8a5e0UjWH83qTa43mNE+32mZ8Kove+tkvEb2oVae/3z21p6icpjOdQrs5ulFvZC4d8OfvG4BPcvnPCvKm5d+8er7z8GrHp0M0VMWw4nj3gqDmjUqsVFDTgFLYSSCQ6bWlkxkbXNLKkAqpUm1MYCBKp8GZGUSXQ4d2C1z72MV68/yK/8/m3ePvbT9Fi9imajWpv7ipMZjym5+27Yf9lbUUSEkemVFUuL684Oj5BMnEu+6ZoBCklwtYCH45OFsyWS643a+ra5qGgOZfmUJw37WUbt7z8yot4sQTYFKFT8ELGh8v3lNulIFuPznVkCO4IEfVbvNYD2EsvhA70yRh0MoErxKyhesSDryqzBjx3R/zeW78aMqWtHa0FivQgoFmjyxrJRgMoVCX6TpRrWkLX4bwVlhNRjk+PaZqGk5Mlv/65t/C1cnS84PbZ8cE+feiMZnwo1ckeIjEiDNI7FNinbk42fu+Znkqdg5tAkQG74QZxK1KVEcmpBPs8B970usF0VqTocvAKnPg+orf72a6kvHvtPr/R+N408tnsm6uUzWh2uCw5c1Hd4c2Pvs5vfO53uHx8yXvvPUGTUM1mrK/WqCbUuUmFw0PPP9RXEcHVFSlEC1HdvX5HNduN8NorWLDf1LWvb+Nr9/W/+AvFZQj/XPtF0X7fxJDw1VTTHq/F8zWaxNjxf+fOkj/22Z8gioFZxrQhPnmEBMft22+w9KegjoDS6po11zip2OoltSxIAhUVQVqcVHidI5JIWaep1JNUiZLYcjVoEG5Gc3zMJz/zMe6/8z4XX/wmT67WmMEnZe1yVJjwwFzC1Id5U/tUJEqWoIu53DDNYtdBbeEMN7R0oOsiC8DXFUd3b7F9+sSit0qOjSpSeTR2ps20XQ8WevveHWOswdZPYgLvDUgzFqFwlNDsrNpvKSlSkDISStREgydpgFiEqcw4hb7Amv3LwmUajTfZnn8eDfn9aIoS8jyjDiFwjSX/VjLbvZiVdHRqlqROLT2j1Y5WY18iQERwlafbtmy3W7bbLfWsytGBkU3b7e0LfBcwGhgdxmSbEV+R0gANXpLSKCgCvelpLEHY4e9NHjr1lVgxEKVEg4gI3Eies1akJDLW1e4VhzSBfeM6RPSK8F8+G+rj3CTS+4ih4S5NCdqE8BZTTGEgz+nngOc1QHlcX6341jvvst60bJLj7O69zCiUq6srQPoSvrtjLlJoWb/dQzXucyQZoIsbS4Jl4UZ9fI7PY0zU9hH53XU49Jwb91sQrO2ZEiaqZUOMtNhc7niswY3bob0iWawt/XvQeFaP34LtliiOSjzHy1c4ObvfJ/JqElbylA2WPxPZEtWy5+u0oJUNQROkNc57ap1lHcYh1HRyzVZXdLqxvmYfoIjHNXNeePAin717xrcfPuarX3vIt99/NhFSVGP208hkT42tC/sRI7LQpcVHo70GIyKs12tO6xoYJ3aO1jS29u6m4t69ezz+ytsZeSMg3iMaIKdFJADvSDHi64qTW1kDj4VxmgBBT2MGiwPAzFvIt01bRLyj8g1d26LJmI2TApUlSAnqoJT6Hgiz955YKc7yJ8xf1Nzauw9/v5pg+9UMOYmkVnl1kStrltJD/bkQ6DSQVOnaKmNAYgAAIABJREFUjq1u8d5TVRXb7dYYTTD8N91s6drI9fWWq6sVzUxwfmbh47e+yzWakjBWFS4RA+oS5NoSHiFJRKkodSNgHwG2xM/yOwlcbSBwrmQWFwl8pCoX6bRIsORD7cp7dHhXCSy4YZI6YI+fEsDUb8p9kv7uvbuS4fjzMcrtPsbXfyc3Cd80X2OsFWapE+Xxu+9SzRpeeuklurcf9v2qKsfXv/zOXiI/9GOAPRm34TqhmLP66S+8JSrih+CB/t4RnziICSVmohPcjTGXUs9w02xoGqblbelYEFFPkozwoOwVTIb1dZaj1b/kcEj+oKGPBpWUq/fe40oivppx9pFPc+vsNVwO1UVhxZrgOqIqVhexYqtrvG+IKbKQhkhHJY5aGhvHKJDGkZjRoJKYyxLVyDWP8VIREUNxZgtNw8vzmvtvvspv/z+/zdvffJdtG/AqhFHezYShJwUZcNaKsFHGxojJ9EUXRnvn8vKSo+NjHNBk8Mt+jZLQdaHX/k5fvpfhYQTnMi5ZH4btqMQRcvBPNWtYHi+ofUWMI9SJXBtIpAYG09ukFLYa7l9dHYH3VuaZiHc13htCQRL68GYViF3bJ3V77w0hxFeIWOizKMzcjkbxe2lT3jj5WLFouy7jsdVSgTgcXS6aZm2X1rhMC5yzcgvbZAmrTpVOA9vVlhiUros8e3bFdtNRVTV3XjgxnMQYOdS+KxiN5p9xTEGS7yHbTJLzOI09pEvJPzANxw/EYYdxWKFLJeJ6Z2av3WBSCCmCL8THnm7Z8pLfNFBCi5sHkaFeyuBrKdrXOO+m+IGGyLPSClEmR9aVMRxiVLufPW9O9xG5MUPOPeh/73G8sjK02axYX63pum70bmOUX/3S230CX88wyrxlKa+YBQ2SJ6MPqAcJlBpAKc/jsJYMmmb+XCWSsv+i5E8c5DNljUYM2Ah1mhZPG2tUnZWpjdihqpp6NFexGI9MUmW6t3bnVdUYlcsY+Kojhi7D+Cxce/ScbBb85qOnfOyTP8qLDz6N95YU2IkJWlvtuOIxM06o8CgNgmfOElFP42a0uqZLayq/wNPQaJ076PJSO7zAXOds2aACcz1iLVcIUGnVo3MoAb2+5hM//Ck+/umO9955n/cfvsvXv/ltVtcJNE3Mv2kHJshCfLNfg5wQzWBC2tVAt9utOf2XS8KuRkMuKdxa2YDb91/Mgsxgxva+NpRrzSbWkPCzBl9VNIuZ1eBRRSOoGPMtyZ2Z65lQigWqVKPzo0SIOfoy5rNeWXlr7UIvtcbtGk0BjUAGL1VVm/6c+C2Vt+TTnXaAb9y8iHzh6OKJxp61xc6yiqiy1uzFSlrb9vU37nNZEPD1kMDqgCBCNWsImqiqihi3rNdr2m1gu932/r6+wumB9qEzmiTOCH8MO8mPiVQkd1UcqYeIyXfmjT3AxUDJO8iHJWW1VkE1ID4nJxWzUt4IZKgVhx82dy7DWg5ROUUJq7k+5KlMJSBTpaU3jUlfFCmR0uB8A8tvGWtOzhXo+LLJyRrQEOM/tBIUMTUT0RPZMaMZ2ROnMWmI+AFEUu0z8LRt4Mmjp6N7TdsraLwpZNmpqOBq/Q4jpOKUrAY9gMZAQRhut6FHswUDX+ham6eL3/oyDiVFydUQnUUcicHMF8nV1Z7F0YyTkwUixWQhdN0Wp2Y3xieqqrG0haC4ujJ/QLYlN7OKdrNltpgbk/ENl0+f4iqLKiLmbHdnlS8lw+KrCGQU3qsnTzOjsLXXmHqNt+THOM1VSp2jmTdoNB/g/GhOTLaPz24v+cwP/DT3X/tEnm3JuTEGC3KV3uPI384OXfDMmEkDAjNt2NLSSkfjlhzrcR9pFnsMNSuK1qlV6RT1dKxRYg8GGwjZt9Pga6uwqanDV/Dqm6/z6puv84PJ8+zyfd5/9z2++oWv0cWOq6tr2jbgqjqbjMDXsN0EugDJeRzRNLFkY+8ysnExa6eUuLy8ZLZYUpThos0UBI7NZsP8aMH8hVtI5fv7RUwY6MP6nUNpid2W4+MlTdNkM5bt4RihlP+QrKkWmSDGaHlFYkJYOVcxdTaHIpZDE6o+7Lng1WmyPZ7UwqVVZci/CxGpha5tibHj6+uHNE3DslqwcI3RpT3cpnykTBXg8XdjAj8O0jEe4/FZkzImH3Me0tQitCUQYiSWsHE34MGJmCWo6zo2aytf4Ss7E+vtlvVqm+f4sAD8oTMaYspEeZCOPUJIinM59UoE1AqjDaav7L8ptdYzoY85CxYV8Gq1H8pCZKdcgdVmLAkk6asnAhP/gzL2Y+hID7jZxuaYwZc0jG/XxDV+lh3S4d4b1459MD1DGZjN+H2DgDN+g4lCRaMwzeOmuquaWC6P2W5WlOqGUykU/t7/9ve5fcdK81rYc4vmUGjnnEWxbFrWawuZffL0kutnl6COtivphY6QEhVKVTv+yr//H/G3f+Hv9vPc98cpi6ohhDBS/OHOnTt85oe+hxcf3OULn3+L80+8yZMnV3ZdxGq3JMVXwtXTFeeffIPHj8wJHkKg3QaUyOnpMZvVllfeeMCjx5fE9ZZVawyphKqGEDi9dcxHPvKAzXpNlf0JT959TBc2xDz2AlufstkB72ikJqbOzCgivbbrveN7v/djfPqTP8L3vvl9LKq5iQJJuJZLkkRaUbr4lKhrvCyYsehx/Woqs6vTsmVDozNqi7kioECi0poxcFmFp5M1nWzx6mnZ4jgi6DOsdi9450jUyOwEDWskBqJb42RO9B3Ht844vnXKK28+sPVJwvr6mqtH73N1dY1LiSfvvs+777xHqhMqEYcnupo2BNZdIAVzVnsxc5UDNldXxLMOX/v+PAwQM0LYWtmAsxfv0MwcxGYoLJYMrr+uMhhuDmVeLhdUvqbgoFntGvOj4IqPJZ+RFFE3hPsWA4moaTmkTIhdTUpxyLGJJriUiFPDUMx/rwNd2Bpx1gZc4r2rhzx7/JBmtqA6OUHwNNEx9zOaqqH2JuhU2Q+kzkBTK7ViZVNt0PzUfYIpkZZEl1X/+YjJjA7UYKrOWs46C35aQGV9fr6YcBljJHXBSjwIzGZ1T3cMXSF8d2s0QVNPyAuh7CM0cD3hLUQ6ZZA6X7LKVXoNplejsdA84iDZi3cDY0m5YqI3TWUocDZoAINDUyeiRAqazSgu451Jb/4DLEIpE2Uno+kdHfYCsiciPSRNn+uRbVj2Sp3ce3MhB+3HiNfApJwrWtO03vvIOUVh7GmMnJ35czOf8yN/5LP80t/9B5N3F6bzuX/y+V6DS3HoY3l/27bU9WC6KTDxwxzTCwidKl0OWOm2G7sWq50iIogK12mD3xH33nvvIb/8i494/WMPuPfyS3z9G0/ZbrfENnJ0csR2vSHhMmh/xed/40u9OcNVDW3bUjlo1xaG+uv/5AtmdugilVR4r9SNZ7NucR4un2347c9/2UwGeX+8dfE1Yoy0bctm0xKDzfVi4UjiqLMt/4W7Z1xfXnP97JKf//m/zGe+/wcncw6wZstlfEjbPkEvL0ndxmDZmwpu32bVPWTjGmqZc+Ru8UgvqaWiTnOOWOKwapEkJfqAS46OFm+pm6x1jcfRaWKjKxAr6CXp2soIq0WgeddkXWqFr4/w2QTniv9NGoKucG5OjGtc5anPzrh1epvUPSO2W+ST34f3Dd3V+71g1z58SNhsWa+ueO/dR7Rt4Nnlim2bCN2Gql7grt5GsrP8iA3eNWw2Nt/tVYeezql0y2d/+o+wefyQdrPl8sk111dWk6dZND0i9Jne4uisYSYGCola/ZrYtYgDiZCCRafhHOpzMbWuxUmdmX6wnB2FFAIpRLquxfsKX1e4qjLT+wuf5MnXvowmMzFVAjGumdUVx14QIlUAVEmXX2Xz8F3ef7YiAd16w3a1Qp0FHVw9e8ZmtUbEs77eENtAFMuNCiFl079n0ybqxRHLk2NCMFMW4licHrM4WTJfHDNbnuLnFbNFw9n9l1mcHHPr+Bbff/t13rp6h02wjH9XeWKy8ZlPSczUECLtesNmswWU5fEC5xxd13GU5nRLE8S8F2bzmkPtQ2c0piFMCdBUms+nsHhk1eD8i7MP5ycZzSJCwKKAJHljKMXxAL0vBhi0I4qaXCSc4qPpO7nTZ8utKdhQRYoHzMcoZuvtibsUyAtT2ZVkn+Vgh8JIYYg+m/hmdiEH+jY43AfFRMCZBA4Do7HODb4QzUCAu/0nS3PtZkPlG6qqMqdm7Oija6TU7TGNaHl8xMnJEpwxmKtn12y32z7D2nibn44JzOmfZMKEfCUUIHNF81pIMZDae3PZXSERNfC1r7zNo0dPetPIuFIk0IemFpiT3tySUu9/E0mEoGiuI1Ik6cp5kFzL3g3JhEWS/s1/+lumlQt9fRbvPRptfp03Df0rIrz00kv87L/9ZydMJmpgTQsknsX3CE++gbYB3W5JobPSzoszvDQsq7s0suBJ+DqbzSNSu6E9uUUlR7gQoVpQRQtflpiPjHhqabjFGdt0RUIIbg0SCWFjJmnN6f3O0ekaNBEx009FjXM1qhbc3MgCVKi5zYr3EOdI2kGIpLAeqdId4fIZrpmRNJhwWAnV7TPqWcViVpkfS2qSBq6vr7PTv2O7NanjND2mjhXVrSO2m46OFfHxNwjRMT8COuX4zi1u3z+lbVuur9YQLRS6amZ0ocUdJZ5+622Oz24TOzNTmnZiSAI1QkghR5JVuLrCnR4Tvbd9oInapZ64qiopdCgRt7C6NhJN07o7N1NvVaVsRlNmi5oUOqqjY5yrSNsrum3La2++Aq4ykK3YEddryyh3Qne9ptOEq+dsr9dsNhs2mw1X7z7jerXlW1/9JqtNR7fe0K4dl98MuJmd0c06IBo5OVsiIqxXEecq/MwzWx5nbaziP/7P/xv+h7/yX1AvGqpmxq17L/D/svfmsZataXnf75vWWns4Q1Xdqbtv0wPtPgxpusFp2oLGDQYcjOXYikOsoESKiYyiYKcBxRHCwkFRLDvBCVYigTxFiZQEI2wcT0mMhWScRGDiFhjcQOEe73xv1alz9rSGb8wf71p771NV914z6RKJT7q3zp7W8K21vnd63uexzYz56QknT9xieXJGs5gLG0cpGKNRyopGmFICjCjQNNVIYj+lJh8/3nJDA2NYd0Qdf7wgTVxP4xkCkPRY9CuThoyM40KvZLkl1XbczJWPqCeOGyunJNYUZQj87yg/Ou1jPL4JKTd52W/WIX6UIDtKC6X996YxLWCPMzjHKJ+H93MjzZYPcygGaAIdPFrr2W8r5yMdGMkp3/2VX0FryzCIAmMYFQ/nixOC7ynjEq6I9MNWWJ9zYbNuJXUVp8L/cbH/8bx1++MBnNZ7yiAxglMq0ezRYxOQQq5txvfdPh1axugqJ/b55FwUerJ6ulAwaHUEwcZQ1SLDPO1rqrMoZQj9js1ux+2nnkRlIRwF0CVTiKgEVmkppqcAKmOLQmXZ/zd887/Bd3z847zt/BnpUciBrDPbfIVWmn64T7q6T0oJYwxxGARZtryFaebMzR0MjuvhOdLuHmq2AKcooSeWXiCs11viboc7O4cYUBhit0W7irO3fS3rq0+h5yegEiX0aDenuEqu/W4lUOHmFO/viyGfnYCtiFEgzlElnGlIRFJekVKPUoqkCkYVynZNmc/RrqJ4j67n6KqG7SV6PscuzgjX9zBVDSwP1FC5opnNxr+LyB0D7/vAF6GVRZVECpKK3G23xKHn7U98gNC/h269wftACIGrywf76xZjJgfP7M4TLMzAwgxYJ4txSR5GJJvSFVFlnFaYSmNVxKYtlalARbQquAqcdti5I6eA1g1KjYuvsZQ0Mi+4hHWWFCPagt+2UFmqpiGPIKEpvapUwcxq4tXVuG4JAs42cyo3Jw099tYtVDOj7HbCd+g9w3ZD+OoPsltt2FxveO2Ve6wv18JV9uo95ovA2Z0zrNGs7l9xdnvJ4mTJbF5x74VXefmV1b5+HK5f4JV/eZ9cDJ33kibG4uoZylrmJ6c0yxPecfGFLG7dYn56AtbinMPVDZBRVlNVtQB2+G0e0ewLXg95vKVM1PYP/ejI6OwXXzWalr33PhoiJV63mZiYjd1v8JCeOzqWkf8sT9sYi4aHOsp0jGVMPgnqJCtZaPZetCrkomFPEDqOkaNqv8ROujlqsmwTtHdqaHu8l7Cfryk6eJ35TfFm5MJ09keePUpJdDYt1EBMhX/xiV/g5NYd5vO5nNd8PqYEFc4dMPOrBw9Ynt+hcnOUgadmJ6AEzXVTTfKm8Z3UJlEHEMiTT56I8ZgWnaPfyWErKe6XYyN+M7V4eE+jlBGgwlSKOwKcHPcuyWePIv5UkcjXOo21QjSqJ24soLYFcNJLMxb2iyrYLAy/7/vCd/Hx7/lePvyhj8g+FFyXSwZ2lFSIqcUMkXj9gDx0uKeeoX/heZRWVGdPos9vYeySmTrlgf8MsVtJ8T4I9Un2W5T3kA05dBAj4cElxlhSHFUQdy28DfrXXkW7S6lT2BrcCqVGoscSSaHA+hVpRswFPe/I9gGlDyijUE7RniZy8uTdWhzBnNCuJg0darFAG0c2BmMakt+Rr9ZoDWl7BcbimlOS32LmcwgCVNDV7AAGchXMGpnbW7cJqwfo2Qm6JJStqWdzSTdtVrCs4W1vF0OZIyYFsA5duVEyWaG0xdQNsWvJwaOoUXo2eulOQBquEp6zkbVcWYUKAeUqTFNh6ga6njT0lFqj56eoYQfKELsdpprJ/dIPslKEnlIvcLM5xlYkP6Dr+X490s2ckgJxuyamgLYON1+S+o60XaGMJrQ77HJJ9AO56ygxEXyPdY7KSKrydFHz7DvfTimJiOLy+c+j6wrTLCgpE2JHXS3IJZJ84OyJc57ZDGxWa1kbQkvlFEbXDL7DupFbLnXST7N9QAyBz//yL4KyuNmSxa0zbj37dp5429s4feIJZuenNE3CVg5X/zY3NJSbtuQGXO8x4+EiufyIUfaXPdmj0uxZZw+cXEFSdVlghsdca5NnO7EZizd7k77kOMrQGWnpU4d9pJLRmj0kdo9IOV5sjxY+4BHBMIqozsvxHKXxHj7nN5ifScl8GLobxw7sCTYP5z3i/Y/AEG235Z3vfhdX17ux5qNHw6tGMsWxZjam7IwG67TUn1RG0QgsdFzwSyl7jQ+t9Sjzc9j/YfG3iC4QByO6N74WpQ6swJLySvs61fTdGDO+HwSmqg3L04U4BfmNmyoP4l1HfTYjsm76XJVEiZGv+PAXAfAffse/xU//1M/xyV/8HCVDzoHr+1c89cST/NF/5w/zH33nd3HizgFxV7ZlTTu8TBo6CB5z/gTD1atEHxmurljM56LsuDhBn99C2QajZ6z8i/h7L6Frh7YVud+iERLJ2HYUFDEIokkrR0gtumhi9PtzjD6Id6wsqM1+3pVSuLpCxYyunaRJiyZtNoKiSxmtEliH3XaUklDJE/sBsziBeCWLckhEnTF1Q9GavF6JwzBfQkzE9gGmORGvvlkS4xV2eU4xRhQolZKmy8WpzJdW1E9/gZzr7IySMn59CUD1xFPksMOahv7qPs1iKUi06FGuljqLrqCuSZtrSXs2FdoaQYAZ+dcagzlZyH0xn6GqGaVdg1KS/dCaHDxxaHGLJSUG0uZKIrnUS80nDvIMNFLEN7efkrpOlNqkNkKVU0ZQQPYDylWoUqjcjGwK2jp82mBdhTIOpQeibzGmpuTE0O7k/GxNWF+Pz4qmMFBiom7m3Lpzh5wTbjYnhYiZ3WJYXeFDgOx5+s45Tz11AFB8+GMf5NOf/ByvvnKNtVC0YjE7od1u8IOwdei6QoVEHzpibNldv8ZLn/5V6mZGszzh3R/6EGdPP83s9i2Cvw3vf/ya9JYbmmk8LpqZ/n0jo3NzI5O3Lrl4WShuNsflkR5cqSSAtPGnU4G+7OHIh3G8fykwl33vg/zowAIt28r7SOHw3n5jN94rR9s//s7+uEbv/PXm4Hh+JlBBkWaB8T2J2h4+D2WPjXXBaElrTTTtWms++nu/hr//9/6Pm7/jEEmVIuSTUjic0ltTfJrHCPMmTdA+knkkBjuACfbQ8bFWtocKq/iIUZn6M1zVkGJkt9uSkkCVJft2OJ9u14JW1HW9NyYP32cPgx6AfRoPoKTMxcW7qMZ89F/57/4W3/4f/xF2qw2f+dSr4CO7B2t+6O/8KF/25V+FxZKL1F96f4lvL6UGkyNpGNCzmuHqAf16i3IVcbOhms8xt27LgqMMbfsi8d6rlH7ADRW992hrUM5J1BIkak0xjtQ1uxt1y72iZs7SGZQ8KXqUtqQ4Nhgah3MOE6Uek72gBVUeRf6sw9qE367QypJywNUz/P1XQCuqxRmxbNFVjQqJED0qJ/RoZBIJuzyHHMHNKd1WjqffjQjPhLJO3jcWzkUqOe/W5OKht5Shxy7OoJJitUqOnAaaW0+Q+h05Ruz5E+hmiepa8voSeqn3qBQwJyeYWqLyEnrsbTFo5vSc+MqLUp/0AzA26caAvnUb2o7qdDkCgRTuXPandmv06R30MAqfOYe2FrM8J1/eQ50uSesVJW5RrZLIx9YCwkiBOHjibotrGsx8hqlrtK1IndQ3czdIA20p2MVCrskoqBZDL2lFIzowRQnsWFdz0cDpW6Lv5XvaSBSaxdhNLQcnTcP73vd2nnrmCT75Lz5N1wYKkbquD2gzCoEkgBJlCQxYBTm3tOueX/zHP4m2NedPPsWdZ9/Bt371N/O48ZYbmsfVDI7HDe/yodrE8eeHIR70SFojdOFFkbMU8tK0dmh9s8loNBRa3VzIpOh1oLoR1T0ppqsRoqtGrqTDIqVHqdmbC7wcf9kv/g/XWY73e/Nvc+P1w+f/6DgiGNR27MR+9HtmrJeIEuTYvIYQDDpjeOm1l6XAp6TtbixQyX5hPO8CJT32OI4X8TT23QCiwmge/t5xykrB2NORJ/bgrPYNpcI7NnWey+/Ozs64vrqkaRp2u47Bdzij8cVzYiT1N1vM98blYQfmzZyZqS6UfOBLP/Re/pe//vcB2Fxt+cn/8//lI1/+fp77zD2efOo2f/r7vpsv//KvQRXYsqPv79NfP09YXzHsrjGzBUpbYugwK8dwvWH74B7PfPmHUcFjn3oGVc/IKZKu7tHdfw2S5Pb7tpM+jt2YFjMWjJY03IgastaSvSxWibQnxLSVIWx2ks5E7xUUfdeitca7hhIHTFVjXU1OXgxNXYPv8X3E1TNK6iSSNYN8lgrDboPWQn8ffE/2PbaZy+IYMjHsoG6Y1CULBqssYbNGu0oMgKshePJ6DecQtpJ2U3ZGuHwFe/4kqd+hh4QZGzv17IThwWtUixPUYolyNSVHcXxcRQmeUjJm0UjKyjq0cZS6lptpNiNfX8KsQWsrRi9H8m6LrhrRqjk9lYjs/qvoeoZu5ZjtU+8QB+bqwf4eytqQ2y0AabOWGrJdQA4kFAwtGEsKaxSWOLRU8zk5C+ovxUgYWkARuw3a1KMBUSTviYNn6DoxPicn+O56bL3o6HdrbFWjlSPlwrC9j65mGGtRriJstyjbCPURYK3l5PwW9azjSz70fj77K58lF83qekfvhavRakcZU9kpCIRZ2zELkoJ0e8XIgxc/x+UrL7zu8/OWG5qpme14PJwnf9w49khvLBLK7vP3FGlS08oIc+qNhcVI5FA0So+cRwWyHSlrlGDUJZ1y+G01M2M/jhsvsCCwjjVvHq4B3AQFPHqON85rTP1N3vw0B5NRfIycyv53x/0003AjkuV4e8dD4MyTvse0+huWyyXv+oKGX/iEgqIxRZOJlPFcTDlUrgoC452gw8eRwXT8I6vIwbCOKbbpOk3w6PXllXjUir0Y3dQPM6W9tLMY49Aa5ssTrNVcX10KrNRqmqYaWQekz4oC2po9U/R0DN57Nqs1737fe8Xzj1Ozadp7dZLLNzy3XuGqhmygHTJf+dEPjecOX/91H+brvvkb+fY//V/hVIXXAy9d/Tzh8jXCdkO/XlOco9+uSHkQJFbIuJOGGAbWL7/I7d/1Xthco89vka+v8O3z+LYnBE/O0hUfum5vPAwKZR1aRUL0kLIYLluhq1qYBQpoW+MaqXm0bQu6IvQHQk1dzdCpELxHh0HqCUNk8K+Rk6danKE2G3IK0vcx9Ni6xqDoOw06kdod1eKM2WKGb3eEocXWNXHTUdJA0dAsT0nRE30gmUgJHjtfUtAM22v8/XtYV5FiYPG2ZwEIq2tKimhbE/sOVSyx38miuZHIakppZqUxMQnQIQfKMEiENwxYZUhRk33AFUFLKSvEmGqk8TfzE1SIxNxha3FMytCRU0DpijJ0VLNTAUkslsKltt1APR+jIIl2S+woDcQwoHLBDy1VPUe5itR34gwMAe0cKXVQz9lu1vTra5qFwLqzghykqbnfPI9yDc1sSehbTLMkDAO6dsTNq/itGLV6eU5KhbDeUp+cknKPm5+TvMd3HX57hV3cEgdjaOV+WF1hXIUyirmJfOCD7ybahsuXV7z0/Mts2si260kh7SNkWzlxQnImJUsgk0Imq4h7/RLNW29ofi3j9YyOFKil7yKpUeRnXPgnT1SNtOH716MhkQyXTMNemtlMhsI9YswmckMzgrLFyz7k/TXidt9MZ/GGFA3T8UwcSZkxXTEFW3sDwsgk8KihEkMi1kSh91ZFGb0/3qnbZ0pHTbBENRbXRSw3Y9C8/4vfw1/+wf9JcsYIGs6okR1GqT3CrxTpuL+6fFXqW0VoPrIKo9rjgdlg+i/nTE6JSQNEo6ga4X+yVpOS6J1Pta8KTbY351CpgsHy2gsvSF1ijFCnno3pWmeTMUe3+TECcVKWfOm5F8bzGTv/s5K+KwR9p63BuJpmPiP1np/48f+bP/TvfiMAP/CD38lX/r7fz7J5BwAb7jPsLvH3XmJ375KUM9vrB6SUCLFDV46KEWTSDxA91fkps+UJw67D+Ezsi7HNAAAgAElEQVTf7xhWa/rgRySgIgyebrumqmeYyhFKwFERcyJ0W6kDuAY1NioKK4PApNdXl/BlsL5/H1PPUWhSbDGuJu42GFVGAbGEtnNSkQ73brsjFXEgJniv0ha/WhPDwOL8Cay1FC1Q4O3lfWxdS0qt2wEKZc3YgzKgVSMLaNbkYaCMTBjDtqdohR96yBF/fQnvgKFdidNnxRVN/U689nqOsRozM8S2lWe27SiugZIpw5i96CQyCCVhrEWHQEwDZn5CwWJmZ5A0uZa6m2jQFGnADCO1/3aLms8oVUOpFUpZitLSNBsTWQ3YSu7dCQgU+m5cSwKmXpB8S/aS2spDYIgDOss9a+oFqiiUrtiuLjG2wTQ1u9VrKDUj9QPETOwGlDWYvMUPHRU1xThCUgybBxRdkVOgpAHHOTlpSvTjcwaJijQM5JgYOjFOffA4pcg+Y6oZ/eYKZQaefOYWs7nl5Vcuya9khqsBrcBVNUPwJC98eKCxsaCspRS5lq833nJD87ho5nF1mTeq1Tg7FvlGPrFpOzfIMNVYpL6xjUehtpOHZDJ7zPjx4vSwAeEoYtEU2KfkpvTY4d8J5QZ5b7BA6kmFImkCJfLKQmk8apijbqqEHgdw076PDJOc1sEwKiMWSmmYzInSBqUPi/f0374Tu3hBWVVSnNdWeK3E2h2h3ZTh9OwW+YhQb39FJ8fgoRpUmQ5Smo5gpCIHaJpmnxue4ONTdIPR+zksSih8mtmM5dnT++sxpQEZX8lcH/UbMUZGI0uEVod9oMxNTjTEKJ+envLsu58l58xzn/0cmwdX/Mhf/9/4vu/683zoaz5KVd8eecZ2DLv7xFdfY33vPv12x9C1hK4llQgGXMlgHb5vMaVi2PQ8ffHFDF0/Rj1rfO/p/MDQ9/h+S1GO5AeKsqiShbLI1Oy2qxE84URgJWdS6Bk6v6dPwlbkXgAhq/vX1CdpdLAUOW0psRB8SzU/wVUVmEAaelIs2NkJOQnaqZmdkLIn4kgxYl1Dt72iXpwQuh0zYyAJDDnUAkAwKMwYdUQfUTnSrtcUEsbVglBLAeVquTe0ReWBOEYI2s0pKeLH1/3qAedvf5Zut8W6BbEXJFh9+oQQWq6u0M0c7Sxxu6HELNFvVaOrGSoM0JxSckB1LcU5aLfo2Vj/CB41W5C3K4Exz4R4tAyB6vaTpCLfyXEg6wp1ekre7ogjpZGdnRLajURfSuiQXLUghkAqnlIU3eoKYxWLp5+loPHDQB46hnaNdjNwlvVrL0vzrfNQC7oz50zqeooOhCCMyqFrQRlCCtQ5E7serTX9dkMJgZCTRIC6lh6pQXgLTSPbDEHh/Yamnu1T1LaeS/RmEs8+fcbypObn/9k1VDW5KIbg8dHTVJaiFDEJSEQpdQPh+vB4yw3NlDp7uPg6ocUOhuE4tcNIlKiZz+fMFmOom2+iwm7+Ho67/x82WsfCW/K67Pd2nAqqRwjf3uAcpbKmOsgUKRyn0iaP21rpFNdW7z1FYwzGGCpbjX+78Tdg9ST9aqRbfryoVmmM0mhraKyT7YyUFcYcUn1/7N/8Y1jjDrQnR4bFMhZVj1JXk0f/SvtZfvR//HFymQgxhZZCmBjGVB0g9PiGkiNKGemsVkgdQI0RwvG8Mv2u7IkGtTKEkRpgtVpJUbYonDM0izkKCMGzu5KUTy7CKVaUGCZjzJ5NwkgL4tG1OUClBTVWJgSGRKUSHqLVTQDGFJ2hMtoqtusdzbyWBlbnqCrZh5vN8cM1wW8Zrq9ImzXtdsNuu2XYbem7Da5qsG4OJUhhVkEOAZRhfvsJSpIIz9ga37Ws12uGtiOlxND3xLhF4KUakzMhRlRWhH7AzSzaanIC38sinVNAu4Y09JgawrgAJKXZXV3iZkuU0eQMaRgoRdOt1/imQY8OTgotxsi9bpQl50geEpqOXCJFWYbtVu43W6GNIwZp6k39QLNYEPstZj4jR8/QBkrZ4IdOoNUl0JfdngJJ5YJGk3Shmc3HRz6RY5DzbBqKgt3qakQwLlGmgtoQwiDOSt9Tp4SyhjQMKCW109Rv0dWMmDzlukM3NdrU6K4jazHQCkh9i84FUsa6mtS32PmSZGtCv6IMndTEvCf6K9ytJylJkH4Asd9BiqQUcM0ZlTYEP5Bthc6Fod1g6hozW+D7jpIK3WZFUVCfnMg1bMe0ZlVDGDDNjOA7UJmu3ZKLAGDyTJPTSIIZYHf1gGp+St/t2G1fwRjD7OwOuobQdZJ+RSI2OxdDY1xF3+5ItQAKbDPHVDU59Fi7ILU7zs7OeO/vejevvvyATReE08xo4uTUj3IMAMZWvN54yw3NNG4s/qOR0WMdQDxOvX+vaMVivuQjX/lRPvBFH8DpQ4f9cQH6OFWWNNhys5B+PA46Nm9cR/nj3/LH99uHadFk/zdMwNtDmkZrfWNRV0o63W8Ywb3zP0V0E1PBzWM5nqdyFDGoh+dwHE8vnnzs+d48+el/ev965k6pZxUlCTigqFGki0NhvDBGYzlL0XTavxrTfeXAKbeHLE/HiaSuMolcDv1H3kcmNJnvB3abfrwkEwWRQmmDcSOU1Dk2m90+0pH7Y6ThKWPEZh1KJZSWe0m2M827vDYcRYRKieEd53f94AHrB1dAIceMj552M/YibFfk60vSNjCEgaHtaHcbQj+gDMzPb+8djRK16NkHT7vdsbhVUy+WpKHFuhmxbem3A8kHwuApVqO0Q2mJ3obdDpiL4mHp6LervTFEW2EmiEmQeCoSkye1hwbhMHSU7LFqid9dY6qZOHlaoYwTLqs0gHW4aoYyjhJ6UJBLxGqDsRVGGRSWkyefocRETAPRS+RjtDQdSk/MDN92pKHbc8YpbfGhw5Wa7D3VfI61De3q3v447QjND21P164xroKUKDmOEZwi9h3Bd1T1nJizqFYaJxxz7UAhY6sapQqxH9BpIPVbmvO3gxaIcdhsx3RrB3WNnp3Qvvh5mrPbJDyx25F7j711h/DgNfRsSdo8wM0W2PMnKO2O2HeUONb8dlt0KbhqRhy2FGMEbtwsiV07MgFEiJ4Uoe97tKshRrz34iRksLMlMXTEkqmil3m1FdXJOd1mByYTuh2mntFtr/De02hH7nuZX78dmy8NuqoZBi+aMkoAAP3lawBEP6DQ+KETpFqGFFty8Zhqie9aQtzy1Ntuy/P80op1yiQFTdUI+4dxKJVvkOQ+brzlhkYelMd9cOAwSxxSNkVr3n/xRfz+j/4BnpxLf8Ij0Um5WUzfv/+YxfrXOs7dya/rd4eDOPx54zgeOZxDI+mNn78BoODXe05iGI9gyApO3TmLZYWzM5586nwPsJiIA+XGKje41HIpEo3kLJ5qlGbZNHbkT99LJZNjkh6mrPA57TU9ctKYWuhKSBKZRcp+0dcIFxtK7W/uvr8JQJDoURpojZGGTaeVPBR20p4pI7eXPhieMc1p1AHEcWNOcyFbzTD0fMnFewCIlw9Ifc/m/gOGXNiuHpC1xjkrxerKolLcAxwKhfX1Fe1mxeLOU8RuO8Jeywh53Y61EitxWYho7Qj9hvr0hHpEbuV2w/zkHDd6/ykXcooQEkklMfq5SKPliCZ0zlGKJYVIDAGwApPePxeZLHp/pNyiZ0tKMeTcC4EnmWI1xjiG7TXV/Db90ILWpNCOKC3N4FtyAG0cQ7tBW4Ou5hAjRStiP+D7QRyYHAl2h9KWMOwovqfMBbzQby5Ba1yzQBPQRnp8UttjnKXdrFG3LZWrSTlitWjwaKMYdh2x76TL3dWoGLCzE6jEIUpDIPQr3GyBrueozlOSMDSH1Rpqh6tPQRdy2zF0HU1GIpycUJs1sd2htBuZncH7QXjfotDPaGuo5nNC3xGTyCioose040oMOUiklaWO7KxFOwEapbBj6GVuUilE7/Fh4PR8Qd8Whr6juf0U/vKSdreiQZEKqCyNqr336JjxKYLSpKGHklFaItX1aoUxhRw3KNMQh55SCvVyTpMtrpqTlUcpx/nZXEoDLxSutlvC0JFjICchcNVvsva85YbmeNxEaN38TBVYLk74fV/3TXzovV+Co+Lh4pMqmTG/cyNCeHj8ehfk3+zxRuCAR8dUuDkaU+h0Ex38az+Oh98oUCnHsqnow7TgTp3zQjeilCbqiYw0obJAyks58KxNxXyDIh/JLpQktaypWddoPbIojGCDSQ6YsjdA+3kpwvqrx7dzzmO6zsBRD1RKhagy2keMMXglnE+FgMIdItKJLXs69XJQfSyl3Jja/Wc58bFv+QYAdlcrUvTs1muRvu07qqWwGyidhKRHKYiZwXfELrBbD4ShELqWvDylamZS5NeOro3iVeaIylmaGVOirhuqekybGtBnt3BVLVDnDCn2JC+qmdpWkMrYGCuGAsDNGrIPJCJuNt9HzGp0GJRxFD8QfMtiuQQ0qV9hG+ENc7om9Z4h9KQc2G63xG6Ha+YMXabgsbpGWcPJs+/h+uXn5PhtTehEdtq4GhBHQFcNs9NzQrcjKfaRbNsKKspnjTU1cWjJGlmIqxlutqDbbakW56gC3XZFtTzHd2uqZkFWIkBGDDhbk/IgYJgcMIsTYrsm5YyxItZVdhuhvXEGZSCHhE4G363RtkbpSDVbShd/10qNKxfC0KO1lwZYoF9fCz+ZLhjXMGtm+L7FtztQNbur+yyfeJIYvKR+s0e7pTCY2xpLTUyDLPAhMDu/xfbqEpQg2sLIoLy62jK0goiLIYECUy3ouo75fEmpqvEedsQ4SM9fGqiXZ1xdXUKS+e021zzxjndJ1KgrSUmXhK1P8L7Dh55qdkZIA66uOL9jwRTS85nVusNaR0iBNAwk9I1a9sPjLTc0E1JrSmU8Em0Uxen5Lb7rP/hPcOqgtX3cG3IwKmaff7+xD35D6/Bvzfg1H9SjF7FM2Z7f7JNToFB8x8e/i7/w534AYxXtpkXbitt3zui6jgeXa3a7ln4IZD/safdFzyMf1BOz2hfd92nNfICmH6c6AdYPLm+8p9RBFRXG6DYJceUepfdQOvRxfVZZIdQxmBsOzQRBT2OK9nF9TcevlVK8991vxzr53oufustscSIPe9IsTs+o65psFDEMDLs12wdr/uk//SQ/9dO/iLPwR//IR1FK4QdE16aNxNDh246yvUZFMc5JBHzQWgnKCk0ZAtkqUgqEviOnRPIivauMBQdp8Ht0IFp43mTeI6ZyqCDpsn63RdsGVTvKILIIbj6nRPHsS5G8vi4KO/Zj5DxWS82Mbr0lJ0+MmXo+J4WMLy3GaV761Cep6jmlQMmeOPSkrCntihwL8+WCPHguX3qeNPScPv2spMjQe1LNMPSEEPAdNMsltp4x9B1YicrKRDOjjBTyjWN9+TJKW7SpiTmTRp6wftfiZjPa5z7LbHmH7eqB/N6Y0Rhnsg+SNVUKellITQ3d9fWYkpT0a704IfTXuPk5wUPsBcU1FIUOmRwHCjuI0PVbWfStNFrurtejEdDkEEh0hH6gmgkDeAqBevDoUmh3G6mb1At2918lp4SbLSg5MD+7RbdbS62nJJrlOSpHhjSQYyH1W6r5LdrVNVlr6vkJq9fuyT0y9ho0yzO26xVKVwy+w3ctdTMn+YBp5jQYfC8UO5v7r4JrWM4XXLx/SRcyz33+Vfz9lbQCPK7n4mi85Ybmhuf48MON5ov/tS/jD3zsm0aic/Y5MfNQeuz1U1C/DY0MMPU//nqP7TeS/vtXHV/49g/wJ//Ud/Lq/Zf5sR/5UZ5/4VVefuU1YoxEHzBGM2scyUm0EhtJGXg/5oTjIdU2RQ2vL/d6aG59GHmotdqjE21RZKdFw0QLx5x+qPY2iVodb8PAjQkvR8qsAJaDwTpOsU5e2v5YlKLrWnabHQDDMNDM56IrP3OSirKGYbtms1rz+U89z4/9g5/lVz77Kmdzxfvf8zaGIaKNYXO9ojaacL0VUEPdSJE6B1RMZN+hq9louDMxtGhTkxNSGwliYDBamhPH6M9UDlLCt1vMsTGPgUQQ468Q8ksjcNyJF853W+wooaDU1Iir0boiZ4m2Choc+N2K5uQOxiipl7gZQ7uint8hhp44dGhXE4InhYLSBT8MGKXwu46cpd6qRqG4lBIx5D0CSlvHsFsze+odKGdIQ4cniZCXqfD9isISZyzrzQOsc5jqjBwHcRyUJvQdxSicrenW1+QYhHAzF4bthqINtpaIC8C6ejQCHW6xQHlP33dQBEZuXD2myzT+ek0aIj5MNE+KfvcApWZoo1itHxCDMCxUs1P6vqeytfCWDa2kjo1hu37AWf0MYdfS9RsAXF1D0eQQ8WlHCAP17JSh31HNZoQQmC2XpBDQVlo3nGnISZOGNShpCMZWaGC3XoFyRB9GHjjRjy1KoWLE2DmuVoTgqXJAe412hjBEVL+lPrsFWhNHZhQd4db5nPuX16SUR2aQR+Xbp/GGhubi4sIB/wPwbqAG/kvgBeDvAf9y/NoP371790cvLi7+c+APAhH4zrt37/7sG217GvvGsdFwTB7mYn7K137sG/jX3/9lonm9v5TlCD+bR0z7VJjmt6lVefz4jRzqb76ReTQ1V+P48Bd/hEzhevsqP/43/sF+EUqV1B1SOvyXsyyAbStCSDFGQgjiYR3xnKUcj2o+gIqokfl1KijeAG2M94YYq2O1wLEeN31tilyOmHKP56mg99REFKmBlcMu3rDmNR1PBlYbz/XV2P2tDaEkGlOLWFSB2Hfce/FlPvFzv8rf/Ec/x+WDDaUUbHOOrhTXV1uWpzPWqxUqF7rK8eTtO8xRUjC2CqsCjnqs62hSiihVjSy+I7eWUcIrFsPIlIDUMWOCHLF1Q/ReuvcBrStSGsAaSpxYzC1YReo3gMb3HdEOGCuqlFY7aT4sEGNLPVtKn0lJuOaE4HeoqsG6WhbBxZn0DA2RIfY0J7coZRT1KxrXLFEkhiEKCMIKaWW/XZPTQCqINANC96RmJyitCV1L9ANNfcIQdriZIUVQPhDCmnp5WxgRkqcgfTFmccLQvoZlRihRDHNd4Xcd3nsyhX57n9tPP0sIYexVEaOR+x2VF1UeY2tBjLkKsma32VBI+H5AWUceKV1Ep0ijTKHf7pifnYq4Xims7j9H8C1207E4OccHj+92GFuLQW1bEoVmcU4IQaDIRlOMIe42wl/ne6mF5EIOA9pU1M1CItW6ISVFu76kahpKisxv36Fdr6T+de+SPrT07ZrZ8gm5p5UhtL2gLksmpohVihgypfQUL2TEJUHKI4ecktRiCh6rFfP5jJg7ERt8jIjiNN4sovn3gMu7d+/++xcXF3eAnwP+C+C/vXv37n8zfeni4uIrgI8BHwHeCfwt4MNvsm2Am96rUig0X/HBD/PVv+dreGJ2JiKZ3FwCD1Ga5gZj82+T2svNcVjAH2cH38g2/pbYzdfdqB4/y4e/tdRJrvs1i2bJrFngh1EbU4uKJHGihpH0Q1IK7SyWcXEumojUG6bifVGiTS+Gp1DKo1o1Nw55TBFO90jOwqN2XDvZ9wFxOL+Ht3nT6LAHmBzfg49jcDh+TymRFP6lX3pOXleOnKBrtwJh7bd07cBf+5F/xM//0gv0QeCuaLunX9lsuxHaLoSlcT5HbVacq0JVWeE4s45KLfGhJxmDLRIpKVVQtTy2yjSShjSaFIUZQGtLKkkalFWmqEGuE4A1WLfADzvMbE6JiRQyeI/RNeiCa2aH884Z5QS+uttdAWCsoxRFigPGOohaolQV9s5DClEkIwC1G0gjrLtEjxoRWioXsjaiBJkSviScbUjba8rYABlKokqZbrsSCHgMaNuLZz54qcP1Pc1IRNpu1uTYY5fnxH6H3vYkk1BJFGBDv6Mxt9jce0UE5WqHomZzvSYMEd9tqBYCMCpuzm67xtiKnEcyTCW1DqWU1CWKpq4cfhidjhRJMeE3D1Bac33vvjS2np4zDAPBDxTbsN2s5PtZ4dsVVb3E955quZRooyjCsAUUKkWMdihT8L5H54w2gvrz7ZZ6eY521ajqKYjNerYQAMIQx7qkZUg9xs6pmqXUdYB+14okRQg01QydB8xsTk4DSlusrRh8OyL9LCUlou9RtiKj0QqqqkbrYf+cvN54M0PzY8DfPHodgd8NXFxcXPxhJKr5TuCjwE/cvXu3AM9dXFzYi4uLJ+/evXvvTbY/erOaUuD07A7f9I1/kC9958XoqSaSMnsjM/q6UI4Wjcfk549P+ma9h5uoL34LFvJHxqicOVWUHtrpVMuXAzpU9/d9KurgzWcEZppzHvH0UehZXsfAntdLrvrNPnUlC0LeKxCGGNl1LTEGfIpE39OFiO+lELjb7RiGjusHl7z04sugRaEwxkwsAr/Oo2RtTJkcM2naV1FkkXW6sUhrrUmuoEtGxYOIWJm0ecaO/ElKe19LKSM1B0fw7vG0dRlTa2OD66G2wxjhPDrXWmtiyXu+t+NjfNjwPNywq5Tip/+5BPTr9ZroalTODEPHdr3mM599lZ/55587pKyUwSrFtvdoZVhvOmazBnYDGUXbeYHnKjg7nQv1vjUikWE0cRCySkpG2wqrR5YLawnbNaZaUNQoY2wsJmWSl87zUtX7eSqlCPDCD2gzRjlEtLUMfjd2u4tIV+i2Y3Zh6pGoZR6UgRSIww5mJ8IyMPSSLtKa0PeEJN3jpnIMvoUUsc2cOGwxbobOiVItJZUaAzluqMmoyo1ggVGBtgjjtB92uGpB8h5jG3RjGbbXwlBsHN2uxSiLHxfFMjECpAGVHevrV6lmJ/ih0L0kDNjJe+p6xtBeEXwjc9Oc7J2hGIJIP5RR+lWV0cgKui+HKLpCMeBHhvTt1Vqi+2EYI9g5MSbS9Qbve9C1KGcajbUVMXqMqUajrGnXG9KIlMxZpKaN9yhjqVxD6DqUseiohWtNi0yBNSf4zYY4eMxIGGvrhjgMpJxIfcdyeRvvIzk6wiTKRySGTPQDg1mjUcR+x3x5Iv0ySqFKQzGVqHySqWanxBgxDrphS9+2GKPI2bxhnUa9kRWaxsXFxQnwd4G/iqTQfuHu3bufuLi4+DPALeAaiXx+ePz+PwG+7e7du596k02/+c5/Z/zO+J3xO+N3xv9fxmOtzZuCAS4uLt4J/G3gh+7evfu/XlxcnN+9e/d6/PhvA/898HeA4waTE8T4vOn4M3/xezm5dZtv+Ppv4kNfcCFe3KjcCEIVvj+Dx6VVHkIYTe9Jd7e6GfGMqZKkBNXD46KeX+d4NIK6WfNYh5Z/9is/yy//8l3hoIppT7MyeY2Mv0jT8b8BmmrytI+bpERg7TAH3/Mnvoe/8Ff/PHmMDspIIDhFSOSxpyVn2ecI3y0pU0om5UAOmWEY6Nqe3W6gbzv63rPdteSY9rWYFCMxlVFTPew9w5yzcEKNkc6Nvpss8zSlXK5fu8/ZnduHesiNes3N+tG+Iffomh9/dhyZvN73bs6l3V+HwzWcotERBXYUNSlV2K3WvPPZZ1jMGmFq7j3bThiRRUZign+z3+7pcsFHPvgFsvXCXn7a9x114/jWb/1mmsUcVzWUkvY8Ytl3e9YIyCOoYmQmL+N3chSdH23J0Quf2kgr/4f+7T/L3/3R70flhGoalC6UWKTOkAuh31EtTyWV1+/I3qPrBUO/GaG3MofVfIFT4OYLNpMuCgpyEubkFAmxR2nH0G+omxOy9yIT4BoY7/mh79HGjmknTeVmpOxHpFrmW77tB/kbf+U79vNW1zNSGpgvzuQYxyJ7DhHtLK5qCF2LqWeUkqXBtFiKkX4rP0gKsSgEuTV48XKLoBhTAW0NsW+JyWPrJcF3hGHH/OQp0ZhKnmxq8tAJ75tSwkaiCt/28b/G//xDHyfEgRT8nnnB90LSWZLUe1zV4EzF5SvP0yxPmC3P6HZbIfgsGuNm7DZXVHWNq0f6nqHHVXOMMQz9Flc7bj35NGnwxLClnt1mt3lACAHnHM1sKfLR9Zyhb4lR6G98SFRVQxg83/6f/mV++Af+BORCjJ56cUocNsznt1BaSGWr2ZyUBvxuoGDZtC279Q4fM20/4IfE559/lQRSV0qF//0fPr40/2ZggKeBnwD+5N27d39yfPsfXlxc/Kmx2P/1wCeA/wf4ry8uLv4i8Cyg7969e/+Ntj2N7/vu799Dm+NY7BUoLChuohj+VaIvODI4lIfsq7zWD31WRqh0KUcaM0fjcRT7r7fPabTR86nLz/LpT3+SF59/jej93oBMi98kcLxHNIFwpU2L8XFNYbSL+yZUdaSKuT8Ic9DhGedK6GjGHx1f7SyLptaKqpmxXC6Zz5csZ3OWiwWL+Qm3zs7YpGuGfscweNpNy9WDFT/9T36KX/rF5wiE/blro9ARkpGOPzMarJwzpTo2MALNzRlUTmP67SAxXTX1IeU0nsvDAIGH74O9MTlCIqpx/vbX9CFKo8mIZ47rMHbfQ3P47oG2yKljYyd/b/rAuvP732nG+pU+3L+TGIPWim3b8Y9/5i6Lec28EWPS9p6QEk+cn3L/3hVPuxpni4AachJp6FRIwRPLIKAZV1GQRTR40XRxM+EGK1FSLKJaGfcUIbHfoeoZdNKYZ5xFF+i6Dc1sIdQqoZcGPDJ52DF3c0zl9qmUlAIZQ7vZUrtGFuduQ1GFZlYz9JmULTkMWDs2l2pNSZEY+lE3yKNKoCiLNg1+t9o7TsF3TJnKFDpcvRjZHSwUT/CeUhI5euFLc5WIk2XhkBv6DcYKDLqURFOfEFKk71s5Z+MIw5UIrCmLm58S44oUC6kV+LAZdYCsq4UWaGgx2qKtdN/HmIjdgJkvyCWgpz6aFCAq2rbFVbLIK6PBJ7p2S93M8bsrbLMA19APgVRafN9SzeYUI3UXmf1CSkIMquwIyTca4yqsmXN17z5NvURr2U8zW+Ks6BT5dicrixZqq8XZU/h2R1qtISeskXt/PhLZGrUUGLw9xVqFtXOsKdS1oaqfZOe2XG93PLi8ZrvqyFJ7FhsAACAASURBVKrQtpHd1ktDaxSSWK0PTu/D480imu9FUmPfd3Fx8X3je98N/KWLiwsPvAJ8+927d9cXFxf/F/DT43P1HW+y3f0QqpCHF44ExVKU1Ggsb1xo0ko6vX8jI4+G5/XYBN5s7HP6ZHKBz19+nheff4HgC6dnC3pf0e/6G4umUPRz0zAoRX6dxqc3M7Q3itjjJur5TJitK2jcnMVyzqJZcPvsNmcn57zrbV9ArRqs1o8Y1OkYpeZSQGUyifdfvI8/+5/9uT0pZ4wZnTSKeFgk0tihnkeU2BjdAGjtRuMiDZQ6WxijLWvtI4ZlijbKqAt0eF/faK58vTk6jmomVOOEULMPz//jJnaUK5jqQ1O0DWBH9EG25sa+H72CmgwUskBau4Hd0KGYGKk1l9c7Pv2Zl7h165zT8zOUGhvvshMyxbYjekH74SNlrGclLzTuIazG81OYCmL0UhQf6zEpA17QTFpZfD9AylTzM1IcpKg8RGw13zMuG6uwVmSsrVsQ2hVZa9GbqSylZKrZcoyEWuE9G7woWCZEfTKBbRak0JNiHBkaFO32mhREQM1VjTBBTzQzQDM/B/Io8ZCwtgJV0DhKEoZmM8572F5BvSRnDTGI5k0RYEQeaxKTkqzKHm0brKmFIBOLshlj5Hysa/bw4xAEhm2tpdJGnDNrKM4KnLxYoV9CHKdYIrYSGn1Gqp5MwdiKGCOunhNjRGOoT05IPoyRlSGNUZpw8sm9bZsTcvYYV+1rq9lfiQ5OinJcVYWez6QHJnpKTqKKqjXWOQgJVcA5g7WOGOU5d87hh46sBS1azxe4ZobKgfn8hNmpcKJdvbZhd7lhfdmya0VPJw6epKQNTClFVTmGYXjc0yPPyet+Aty9e/fjwMcf89FXPea73w98/xtt743GzXTF2OeAwhRpzXxsZ/w4jo3Mw2CAX+t45FdH2zNK78kbj/dxzMRcsnS6Xzz9fp598p386gt3eeHl5yjX12OKKaNVFv1JpW40A02vrRChYUbCzcmrL6XsZZ/zqKKpNFAkorDW4qqapmmYNwsAfu/v+VqeufMMi/mcWldYZW+wWt848YffUkcLt5ImzKw073v3lzGfN5I2IEgOKGaS0lQlA36k+9d7sMCNfposDMSy4Ot9NAJg62qc9rRPqckxHCILkF1OMOc8HudU9Nda35DoliLlTYP0RvfII59NCqr7FKcYBgA1EpZqps/yvij6uHtR5SKRjo6jqN4UPUkq8Wc+8WkWyzm/++yExa0zTC4Mu4Fh27Jre+LQE3MiF2HL1Xos8ptJbVS46bR1GO2ISQtfGdCHiFMVyXt0Gog54Ycdi+W5MBEMEZRFj0ACbSqMdlRVg2tmuGaGNmO800iaTKZHdIpsM8e3W9H1zhpCi7U1GChhgBRxzQlFSWOuthWudmQlMuJVVVGypuyf8zzqDhmBLCcxggBRKZyr0daSQqC4ihQ6uQ/MgpwiapSnjkNPPT+lb1fibFQzrGsooyKpMIMbrLN7TjatDImEqyTCSUGACCm2KGWIfU+2iegHqrkcU85Z+naUHjkNjRT8i9s/wyEkYTDRwoZechRgQBpEVkOLXEPXXrM4vUMxmugj3eqK2dktuc6AbWZolBinuqFSwvOmlBL9G6VQrhLS4pCp3HyUNQBtx2dIFVylMdZAqXFW47TCzpZUTSWsCimRomLoPLvtwNYL+aHPeSRfl/s79MMbOvtvecPmpEqSmJBFI8pFSQOdgGkl111Klptyj2aWhzSVghGikwP8VR06wo+HOaphZHXQlYHHo9AUZl/LMeO+NDe95Dwi4YSRWO0FwRZ6xpc++6V84dveh4+ePni27U6oz4vk2K3SSEOcpXYV1loaV+FcRW0dWtk9w3Ue0Wg5Z1lgx5XFajPye1lsUTil92f1oXd/4NFJf1yQ9jqBm1aaXKSjPqs4kpxaTs9mxFRQXnpmjFFYKw2bsq4LKi6NxzvVg0opY19NRk31GRBVRKCeNY+ttzyuv+Zx35v+dkohSpLpxvs3IM5KJAQeJwh3LC29N05HDAUT2/V8OZsOQO6fFI/uOT2GEYfUYCGPxsXdqB/KcRU+9bkXuVpv+MznX+FjX/VBTs6X+LZjfb3Cp0TygWEY5KkoCYUmp8j8ZAnGUGKUbvfSica8imgj3GFdH+na1Z6bi4h4Roz6KSlQchQPWWsqY0kmEfqAsRV+uxY0nJd+l1LSSG8y6jo5JXTyXQcUmqahGnV2er9Da4tzljRSERlEVK6uFzjn9lxsMYhnbN1EH1PQxmJcg+9WUDUj5FYcsZKEXih6j61PSSkINNsHYR23Cm2gqmcE32L0bKS1M5AzIXbU1S2UgqFfUTcnTLpG2pgxYvHEsBujrYRtapSy4/emZnKBh3sfx7R0wVYNfTugtR1Z0KPsu2RCt0FbN2Zw5PlNMY7EpWJsY79DpSxw9DH1N5stqNyckDzGVpTQksrpyBywRGXpaxu211TNCSlFfIxkncmx4EaWZaUKJ2dPkZOQY1ISJXuMqaWvcbz3uxDZbvr/r71zD5Jtu+v6Z621H/2YOY97T25uuLkESMJWgwQjETSahIJURKRigbGKgiBEipLCUhTRUkFK1D+skihoKRQFxGeVZSCWqJBYJZGXgQISQEh2wk3Izc09jznz7Onu/VgP//itvXvPnJlzz8UcZkL2t+rU6e7p6Vm9evf6rfX7fX/fL6tqjUUTXE3j2vh+ug0k96XwXnigafCIOhkELVLhQuVVpwZu+x6PzRd5I0PjcLKxxtPziAe/3z3Pdm6YHe1VcaIj/OSaIyGQoDFqGKA26svDc5YH9GAxUygynZLpFFJgClw5m8BwcpynTm+nP8DzG3A/aXztIEUybDxC+cHMNKHhD3/BH+C97/2A8PBt17Rpcc6TJAnODUzOALzHei+1kyCbh64+I0VVGfj2lSv3jgM54faB49QEqOHmAtfnzIc/H9ogdK+rMFIP7A+V8TnyRHTs9egChY7jDLg+3fvojWsE1wV9WXQ9SgJMF8H8Jq3XnYi9t5u0IifTfvuLY97z3t/k45/Y4xXF41ydTVDKgTY4G4R6G5QIUyaGNDWsbWx2dmLxbNJcNOmMwRgJLIuDJSaNC3krFGqMpqoXJEkSNwOOtIXgHUmimdYted6ijhdCb3Ye28rC1ERttW5+EyMeNel0ynx7GzOPXiq2xduGfDYD5WnqFbPtKz1hI5/NwMoc23pJGv1SkiQhREqzMQnOrsm3ruNsgzPgmgrf1mJ4WK+k619XtO2ayew6bX2MSTJxrgwarS35ZIsQEJtsJ7I7aE3bLDFJRpJkhOBl49N9N32gWi3IJnOSTCjfWTqXa9I7TBSpnF27xmJvj+At1gbSfEIIHmxNSMVOXpuU4D1JmvXXYDKZ4+qKEDcACmjsmpScZDZjfbCHtg2EmjwGHOcc9WqJMYbZ/BqutTjbEvySzrk2eBGpDSGIh02zJpvM+1RfNrlGsxarh8RkKGPQKpcUpVF4J7I4zbLh6HBN1Vjpk0tSfOyHcs5KTU9nJ1LKp3Hhgcbj8LG7n7BxgXSxP+Rkw5xMmmbzeKd51qVQnittdnr36mJA6k46Xa+FCeBVFOkMoXfDMfcEhs3idXr97+Pdqb4M1aXNOIutRv8+7338OfAcu4oHeolunHHxNf3YNcpDoyw/9wvv4qmP3GJra0Y9y8CxacZ0ntaKevAJhpnbsMe6WstQJqY7sbzg8Rfc8/n1wUZpOttnFXxMUcTnxPd9ok4VtFg5y18dpEBFeqOXMVKKoQ1218MUMxmb11MiOjgkDDz5mS+SlFXraGNufKOU0J1mus9axBh9UHGRGpzy4qnPetef+J6+dYfb+/t83sueZJrCfHtLPGdcoGksbVORZ1N8sL2nUQgtBkM2zVDKkGbiWQSwu3tIFgUXfduQ5FLMb1dV75UUgsOHhagJKwU0bF2Zg3dSnI4WwyZRTPItupSkpCMW0oharaSJdbnEpCnBWbzXuOWCYExMj3mSJJW13Htss0anGSad9ieaIXxoZYFzGwKKV8IWVCiSyRzLCudqvLU01RIdi+HWtmhUDFYtxiS0Xjr+rbXk6RYmTUTLTE1QStHYhm6zpxNDPpuTRDkgrROUcjSNF7ZdTLGsFweS6lMOq6QZ1vuGdL4tn21w+KbGK5jmc7G1jqm1EBxpOqWu19IwGaT7Pk0T0jRFG0OST6gWC5JpjtUi6++xtLYmhEzWzroinW7RemGa2WYV09aQZHOk2VaM6exadNfy2RTvHIlOCb4htAaTXcHahqZq2d054HBxjPVSM/dVhVJi7CZpY8CJMvd5uPBAowCnvCxqXaPWML0xWKB13w+uoyvlvYywYd3kNLqUm3iNSA41GUThbqeskM2MQqOD3VTWB2M7YUUQBgvd8HE1eP6p/4enlrOCyenHPOFEN/yZ+CScZrq/2zpHpk1cdBUESBTokPDqz/9TfOLZA+q6pq7XrNd1r1PVNA0HB4eRMi3H6iQoMV3q6biht6QepqYArj92oxeBBC+7M39yE4BXgzmWz3IYaIY1nw6z+YRXfN7LuHr1utSytMERSJQ+8dkYpfvalGxohLXXXYfD0xHA1731G/rg0zjLx556imc+/BGW1VoaRru6lKI/2XT1o4BDJ4rt7Tn7u0dUq5q6ES2upqloWyn+fvAjz3Bta8r1Kw1VJY9LU15G5qpY25O6ivKBJAmYJuBcS5Jn/XW/uysnl01gb/CuleDQpWe7RsTakuWaP/Ta1/L4Zz3JbDYnzzOm0xlKedqmYufppzi6e4fjvQNs07A6Pojy9p7FckmaZ6SJJs9zkkSDt9RuT+qQSQJBTr9eG9bVksQ7JtOt/nroFsSmXmJMSj6b433dB/o8m9G0S9J0TgiByfxqNNCTU02eT+V0pwzGaDm5VAt8Gz/jTnFYI7v82CirAqTZFO8dIUha16Ck9OQDyiRYK466Ks9JM0lNapXQuAbrGoxK8V5YYMYYrGvxDtL5nLZabuj+ribJUrJsm6aR95vkE9JsIjUXpzAmpTpe4FpPW1dsTeZYG2tzKsNZg20rmnrNZDLDL49RaYbSGdY52kY2J1lmIHi0kXSvDZ7ZlWt429KsFqjJjHQ6ExO7usHahvViyeHRkmXV4qzHabBWSAiysZHPyroG7y6xenMSJLxoMa6XB4OHwW5VB8VwFVVKo4MnCwqnZIfcKzkr1dd7lBLnxM3pIKoMnHCUvHcK+r/Lpgg9DDAoFQPRZlj96E49fj7ODzJnP/uTlBN7QOTmrEvDkCh40ZUX8i1/4Zs2FxmbXiCnHHd2d1isFiyXa5Z1RdWuaetG+ms8ON+yXtWsqjV1s6RatlSV7GKvP3oN2276fQBhfbFJcTod7bAjIUAphVVhcN/gY3FemGWSXprOZ3zJl76el139rBPz2Z+Yldpcg93nEgNhx1Y7fWJ+8xveLMKQbFh6Nw+f4T0/89McLQ5pqlrkR+qGxrbYtqZaroQS2p9wLC980QRnoyBp4ySItw1N1dC2DW3d8olbt/Ee6RvRBuNqlkEkYrQx6FhTYDBea21/jT1za693dZX3EnCtLPZd4La+ZWtrziNPPM61R1/A0f6Co6MPyolfJ71KQpIkXHvkKo989hfw0ldf59Ebj5PPU4J1HNy+w2+992fZefoj7NzcIUuEHo0OTCYzwDLfysjbidSCsonIpaSael0J0QXJPupY5K7XC0waGV5WuvODjn1bfkWSTjhe7CGMuwnWVjjnJDWqHflUqNYETdCBNJ2JArQOpCbF21bWgphJ0YnB1w1G5XL6yjO0TjDZVD63VBFcrEG6TnsuuuPSRDWDCUmSbZQ5fI2qA4mZ4J04UiZpjplk8v1YV7jWYfIJRgeSbE7btKz2D/G2oSVFq4zV8Tr2c3nUPKft0po643i5Jk8z0rDZdDsULjiaxuJsBdO4GdcJzfExJjNMtq7KWNKEdu1woWa1qti9tcOdm7vCdosbZ/ERku9L66SfKE1y8b05BxceaPK+kAYgkubygYOKsu5DzlknouiUiScaYBAsNPKmujpOF3AUChukXqDV2bItQ1tmOCcNp57jVHEC5zPlLjuGNgyn30f/+DBlOGhM/Owbn3n2iz5Aau8Hvudtm6efKvD3j6uu3iG1Gx8CjW9oY/OotZbGSmBrfUsIWqT2UeRtymGz4Fp+5cTmpMfp60Jt0pz3nkqR3FoI/fMU8MTVJ/nar/z6M97dc18PIVZVFdAqy7Jds14tWa+XHK+W1HWNqysqJwGsaRoJStWS3YN96moVg5toXdV126einviDRRQ/lPResCHaOti4cHimSoup2LrB3blNkk/6k55SotDb9Wbt3n6Wj5alyN4o8ZhRSqzHVZqQXvscHn/s5XhvMUaTGMXHP/oR7jx7h3a5ZGoM+XRClhkmecp0diB03VTm9+hoidFpTDOCDUuRQGorlDLUjcW7FmUcqZ6gVIo2msRk6NlV2qamWh9KnSpN0Cjy+RYghnxmktOsa1zwOBetFiK7MLhAPpljIhMNr8SRMgnCxlMJKGH+9deot4AnSTWKnHQyQfqnNHjVkxHktOwwyYRqeYzdtbFeGVlw6ym2WdHWDZPZnDakrOsViVuQZlPWQVidoDk8vEmS5oAXFp7WrEIdDe1Aa4NtWtCK6WQgIwSE0LL96GNCQJrMcEFjmzWNr1ku19z6+C2e/p3bLFsrxKzgUUGhMX1KWikJOk6H3vr7LFx4oOkRd5O6zz3J7kP8NDaEx6BiyTY4hpRXo6SBUemujrNBCCE2ZW7uy588Oz3VU5UJMY02OE0NXuO5TyOfmkEGODfIPHAZaPDE/qY6e97Oe80T8959mbvRqBC3IBoUTHT20K7m5/qsH7yOdn5/1DCIhRi4UhKupdtcu7oNV+knqjuNnNSW6q9MfFBY1WKDdKNLOgm+4+/9Q9qmwrY1rbXUzZqqrlkeL2jqNVUrtsFN04jeXdNQr2psW8cAhTh4Bi+Nm85LSqiSBtDu9EfQUbMuavwpBV4aRH2rmGzfoPUpOwf7+OMjlAtoE5hlKfNpypVtoQs/8/E7kmLDYzRMJhnz7S1pYlWBJM0wJsU2NU11F5OkGBTV+ljoy4BJp/gQsI1FKUhT8bxPshm2WjPZvs7x4a7UXXRCks6o1wdRiDTDNg3GJNIXlAlhwjZiKaB0KnW2bsNlTM/A1DojMYrETKkbsRkwxqCnM5LJnGAdwSuSLAcjGmquNajgpLkyWNDyekFBms3lZFetSPM567UobB/c3iHb2mIyndPaWtTV6yUBTZ6kBOVJEmn09N73jEKA6dVHJcVmTG/tUa8bVqsVd2/vcevmLvuLVXeRIsxfd+JkL3bsLTok8QI9G5ci0AToO9p9CKguB65ECkVhTvAZQnQnUfF21wyHslifSSS/398751Ry1oIhudxwT+rqJEnh9zNOzuQDv1t15s2zT5LPYzSb5/7eBfGH/Rmffv1z/54a/lzdc/jqnmQUGFLy7ufSr8nLH/+ce559P+JMGzytr2i9pWrWrNdLVtWSxWLB8fKQm88+w/LwgOPjY5rlmrqusU0rgq1NI3YSVtJ3HVPKuSAUbWtR+QycwzYtbevYP1wCnmkm6sYfKJ9hazZBK1EsvnplxpWVJUsM2STFpJ7gxY3U5BP8YsFk64rQst0q1qJcZE9J/8p0Lt5BxgWw4uWSRAJCCIiHS9zAtM2aNKaTgldSQ1bS52JdjcaQTqa0oe4/F6WUEA+yjKA8Jk3IVY63baQoK0lnBmhdI9bXyyWmE0rVBtvaqFgRaBtJI4rkjQFlqKsKpTVaG6bXbkRWmaOuW7wV1lk2m1OHEH2WDKGuaPBsbW/TfXfaqsbZAE7oydV6xfJgwf7egoODBXf3jqjXQhEPIBJHOm7uunSxb1ExjFxuh002OzofBpa6yqOCHPMMclrxuEhvTVFIlzrKs0ngyPE+4BDvPdOzwoZfqOHJ5kEXkROssbNSKCNGfAriftdwpgyZnsc7V2FrwAAMAf9q+T40oaVp16yqJcvlgsXxAc/efJr9/V0O9vdY7B2wPl5Rrdas12vq2uEXx9G8TTyLVqsVdSXKGQcHcgL7wIefJc8S5lsTJmlGnh/z2KNrZrMpaQJ5nmISHWXzl+TTGev1XfL8Ct6vydIJSZbinaVpGpG48UEcIZcrskxqGSrNSVA0jZze0jQXO2XfUtfrngwkJ8hANp3ha6BpUGlKns77OenYf8ZoQpBm6zSbSBe99SgFbbvGrcTKofFWggwek6Z4D227xLkgZnZtJTVok9M2FUk6wzaiknF8eIx1jul8Lk2rOBKTo02Kby20DtIE72ohLBhNtV4zncrOY72qcXaJbR3LZc16VXN0tGB5sOJotaZuLG3YKHoYIpEneAhmsBZGkaX7qDdfeKCBGAgYFtRFYt6AHFXV5gTj0Bi8HOHQBJXI/Vj8HfZZxOui/3KclSF/0GDT2yZz7y5wDDgjPl0w3GRJClORqpx5nnM9v0a4It+NV738iwkqYIOldQ1VW7NaHXO0OmBvf5enP/YUh/t77O/ucnRwwPHhguXimNWqYv/OHgA6T6maluOdA5SWb/7t3Rnz2ZSt6YTpRJhPWSLssdmswhhFsPtoPCoxXHvkGsao2KCpqNaWJKkJwTGdT+T3swxtAs556lZowYHINsRQHR8TtJLajDEorUnMhEa1VKsFJomWCyYVAkJi0FqMylSQniODwjor6hnZjMViB82UZrlCKY3SiZwE60ZUQ4zC1k2/iRaVDEWzXtNaK3I5sU2isZHqbB0+cYS6JckMaZpKg7lWeL8iNTlNkuKdfEZ7d/ew1lOvG/b2Vhyv1tTrhqZtab3DIkQHrVICHmdlTgFp1PWScQpI68F9DjQXH2g6hljn/a7jB2z6/oiTTUAm0psD0kDnvTtRwPVBUgf9/fh/PPCdQBd4fjcpsK5LfwwyI0acxImGZZWSJSnzZM4jk+vwyJPwYlCf/yW44LE4Gt+wXC84Xh+wt3eX3/nohwB409e+ieXhksP9BUdHRywXx+zcvMXu/hE7d+6STXJMtIFO0pT5bMYsTclyKeAniWZnv2I2yUhTzWQyITGxZ0rDdC1qx8HtkaYpJhFWnWsarJNUkFaJsOC8IcWhtaauou+N1gQLbS2Nq965uH4pvGvR0ezOti0BTeudnAacUIyttaRpinVS87KtMM18fYROcnTa9uZ00j+kaa00mNZtAzrBkBFsQAVpJrZtS5KmNLWlroTePplkhACHB0vqKvTr5c1nhE1mneLgeE1V1SLLo7pPz0fWnxe7cBUIeJTSeN8x1zQWdd+0GVyCQNOxwoQ1rABP8BqlBx37CIV2Iz3TdYEnKGX7lk0Q/Z7udCOyMJ7OJniI/x8+mJxuVFQW+HSp1YwY8dx4PqQJozQGTW5StuYzHtt6IS+9UfCFxWsA+Pa//o9ZNkuq+piDowMOj3b48Ic+wMHOLnfv7HJ4d5+dO3c42j9ivTzm9t4BJrhemDVLhVatA8znc9I00tzThHSSYkxFajRGC8U7zROyJCWfZGSNsMXSPMPbFlSNSyc0tVgxpJmhqYXaazpxU+9xoSVpczAe74T1570XIVGvsLWkCq2N+n9RQcNaK46h7bHQ4ReHpJk4h9bVijybSknAK3wjLQJZmtB6MWHTWhO8x+RTTJ7jm4a2OsbVCmcVifYYFE276lNhB4dLQEu/zLrpDdGcdZFBKSoswXuUVmDkb/ggNuDSdbLp7htalpzGhQea7uKzKmA8OAVBuzP1p7ySRd74zhu+jb0yG1uBPsh0CAld6Bl29Z+VQjs9pv7+sOeiK8gG0Q1Ug5z1WY2mI0aMGOAcimFHDWfw46meMp1MYXKDF1+Vx17zijdsXqqvm8oLt1iaIAvm8Wqfo8Uhd/fvcvfOs/zar7yPw909Dnb22Tk4YPnsHuvlirpekyCMsUmek+c5eZ6SakOqROR1a5aRZSlZlpAZDVmC9kEUA3KhcwPc3TmiraSrP5nOxW00+tYkaSbkiE6BGSEVuNjUq5SJP3OslpWk6toKvEWZjMoHaAMtLvZuaLQVH6mmWpNPt9FAVVWEdU3VViQmIzQNzq2Fli7iZNHLCI4WaxwiIxOC6JYFJzJERsW1VHVBBGy1RqVdw6+TpmuVQGTbaX2+NtaFB5pugU9QWC3B5vy4iEyUViS9XI2O0hGqb9JTShG8Rbq6Iy021msedEwngoZIIZKcw48a9np8+rDRRoz4XeC5vhbP42uzqRfJL2akZColKLh25QpcAZ6Q577xS76aul2zWB6xOD5g92CX/d3b3L55h996/6+ze+sOB3d3WR0vWCwrnK0xWpMozXw+J59NSbUiSw1plpGlRqwTtCJNJWOyc3sflCHRBlYHEjhQKGfRuhGRWedQ6QTXtH0/k1I6mpNJA23jLKE1WLciSXOUFUsEFdWs69UKZVKs8aJ/5zXKisil0kI5JmhcAILG2hbwhGmOrxuxN4DYYDnwbHLCNFQu4LSw3ohrmXPCPtPWCUkhRLPERIPf+HmdhwsPNCr2z4TIODuttnwaBmmk6TTRFPKGjeilY0KnX7aJrp2I4/3VKE9Slk8Hi9MnIBcp1BLA7p3gB+43GTFixCcVXeAZYs6UeTblkewRcdh6Uh73BI7evGC5PmL/aI87O89y984t7t66w+1PfILbz9zk4099lMPj46ha0EoKzmRkWcY0m5LPhAyws7sGZUVJXgWyPKFtXOyLEhM311awtlRNI/YDbqOqobXUnhMzoXLiallVFUYl4nHjAs5agjL4APVqhU7EpoJWZJCMMVE6J4BrelULfMCuG1rbomKgkZPNRpDWe0mvBd2x7KTgTyxpiHpGiKcXjfbSVtI5+OrJJW7Y7EQt4aSK7dDjZVh079JnXQRVQNCdJcDGelfSh4rgQ6RAm/g3OjnH89NnD3Ii6X53mOLrgk5XcxoxsbOZTwAACoxJREFUYsTlwHnfZ4PiWnKFa9tXeGL7xfDE5/dN4XWoqOyaW7c/xt27d9nZuc3e7g57d3a4e+cOBzt73L15k2a1BuDm3o7o2TmRnJlO52gNSZJhFITVobiL6oz4FwBwroWQonQrG+XOIiBA21iUcmRBiyKCSejEXcHQtqJV1zXlGmNQaKFH4074Z8k6unFOCgFUJFOF2CsjvTHCeguBjXspCozowOkgIrC94ZuS5+dRrfssXHiggXv7XIYLte7FwzYwIg0QGzZjx78CHZVwuyyZMBo1IegTrzEMNp2Cb4fTulbnjnnwewpRku2VhE/rZY0YMeLS4t6abJSyUlNmyYRHnrgOT4iifFBKakG+oWnX3Np9hoPjAwC+/m9+G/s7u+zdvcv+nbt88Fd/jXZdo7UEAa01ioAxXTYmQePAGJq2EjZakqK062s7JkkJHmGsGZGVIYB10n/jA4R2cyJyQRTDh/5NSimhJhuN1r5fCjsZJx9FXp0TVp1ShhCbOCWtpiQ9ZqJIbJRz8nHuVBQanVx95Nw5vhSBBk76ndxPeXmYWusENM3g+V1RUU44YtUrfTknqc5nBZnu94c4L+D0MjVqY942fI375StHjBhxOfB85IUSJU2KqcqY6pQwmfOCz7jRr11f9ae/AYejDQ2Vq9nbvcVvf+iDvOe//RTl+38NZy3OO3wQIWClNpYTwYnaefCO1GR4GwNF7JXp0mEhBFIT9deCIiiNa5telaD7d3L8GrQVm+eBLqSz8b2HSFd2cfuuHZDgfdur5HeyXtpoiLRtkRbyeKWYb1/D5LNz5/FSBJrTi/JJQceBvlmE03Kq6XpwAgMdHq16yrTUa2KzZ9jIwZ93kjlLW+u5Umgh3BvoxiAzYsSnBp4vaWe4LmwyKvJYqjRZ0Ex0yhU158YLr/O5j72C1/6JN/Lrv/nL/I93vIPf+MVfxrUWkAZRUGhtUIkRGS4MzrfStKk1rfV9Ol5pMUppW0fwGhcCIVh8kPVM602aTOsEG20WtBY6shgHbtY5sVlve08ZHwLKWwLizdPVfDpmbSevAz6eZqSRNMlT8uvXCeoS12hAAksnU94v/oO1+jTVWUVrZ1EN3hT7tVIQYqE+6Pg81SUjo6bAoIg/fM04+b118QOyx7pakubeIDVixIhPPTwvIs+Qlt3VkuPCLGn/wHYy5zWvfB2veeXraIPnoDnku/7qt/KJ33kaH4NBJ/zrgxUdM2X6onsg4K1HKY9JlHBgtRY79Jje8loRXACjIYBxoo1mrcdbB7hIce6K+6CiAWEICq+UCKEqhQoOHVTfm9P1M0qqLaCCJkkVKI2Zz9j+jJfgTIa5D735wuWFu2On7o4sPvT2tsN02gkE3R8jT0jJxx+f8HYPkihTgyBz3/GEgRHac9Ro4pP6D/u0ideIESM+9fCgQeaeb/o9WZBITBo8MVWaG9k1/v73vo2v+ktv4ZHHXojJUulPSYzYKEfF664/p3tNrTXeabyH4PymPoKJdGaFd8TbhtYF8esyCSaVM0VQRmou8baJPk4dgcGHBoXpXUN9NIfTWhS5VWTz+qjjNnvBi8DkfbP9ebjwQAMxNRZH8qCnAa8khebVybpNpzDQKQV0IpwnfnfwvwS15xjfWfTlrkYTT2On03Cnf2cMPyNG/P6C4mRQGhbZgX5RhpPrjFKKx2eP8TVvfivf/f3/jC//mj/PjRuPkSa5ePokRkzGEunJSXumWSDQxsAlduZei9dOH4i8R4UQadNBfIIA5+5dgXTcgBOVVnQA7RQ+2P496M6KXEs6ztMFKyAx6Hwrsn3PXic7XIrU2fNFTwyIt4cf+P2OvUNa8zCF9smMtsPmzREjRnz64SzbhxAl+7vmSK01EzQvvfFSXvyWv8KX/dk38T//6zv5hZ96D8dHRzjtUDpgvMYjQp39BrbrW9EiPKy1xmuPa604gwaiDI+N7p6dpExXmxkw0pDufheb3kMYpAIH5QSluw28FnXqLOPqky+hNQkmeNqgSO9zRlDjgjhixIgRIx4mLkXqbMSIESNG/P7FGGhGjBgxYsRDxRhoRowYMWLEQ8UYaEaMGDFixEPFGGhGjBgxYsRDxRhoRowYMWLEQ8UYaEaMGDFixEPFhTRsFkWhgX8FvBIxZfimsix/+yLGcj8URfE+4DDe/Sjwg8D3ARZ4d1mW/+CixjZEURRfBPyTsixfXxTFy4C3I72r/xf41rIsfVEU3w18BTL2byvL8pcuyXhfBfwE8OH4439dluV/ugzjLYoiBX4E+CwgB/4R8Ftcwvk9Z6zPcHnn1gA/BBSAA74R6bV+O5dsbu8z3qtc0vntUBTFY8CvAG+I43k7FzC/F6UM8OeASVmWf7woii8Gvhd40wWN5UwURTEBKMvy9YPH3g98NfAR4L8XRfGqsix/9WJG2I/pbwFvAZbxobcB31mW5XuKovgB4E1FUXwMeB3wRYi34I8Br74k430V8LayLL938JxXcTnG+3XAblmWbymK4lHgfcD7uZzze9ZYv4fLO7dfCVCW5WuKong9ct0qLufcnjfen+Dyzm+3+fhBYB0furC14aJSZ38S+CmAsizfC3zhBY3jfnglMCuK4t1FUfyvoiheC+RlWT5VlmUA3gV86cUOEYCngK8a3P+jwP+Ot38S+DJkvt9dlmUoy/JpICmK4gW/t8PscdZ4v6Ioip8piuKHi6LY5vKM9z8D3zW4b7m883veWC/l3JZl+V+Ab453XwLc5vLO7f3GeynnN+KfAj8APBvvX9j8XlSgucImJQXgiqK4bLprK+SDeiPwl4EfjY91WCBH5wtFWZY/BrSDh1QMhLAZ4+n5vrCxnzHeXwK+oyzL1yInxe/mkoy3LMvjsiwXcQF5B/CdXNL5PWesl3ZuAcqytEVR/BvgXyBjvpRz2+GM8V7a+S2K4huAnbIs3zV4+MLm96ICzRGwPRxHWZb2gsZyHj4E/PsY6T+EfBhDr9Jt4OBCRnZ/DMWouzGenu/LNPZ3lmX5K91t4I9wicZbFMWTwE8D/64sy//IJZ7fM8Z6qecWoCzLvwh8LlL/mA5+dKnmtsOp8b77Es/vW4E3FEXxHuALgH8LPHbGuH5PxntRgebngT8DEGs0v3FB47gf3orUjiiK4jOAGbAsiuKlRVEo5KTzsxc4vvPwvphDBvhyZIw/D7yxKApdFMVnIoH97kUN8BTeVRTFH4u3vxQpXF6K8RZF8ULg3cDfLsvyR+LDl3J+zxnrZZ7btxRF8Xfi3RUSwH/5Ms7tfcb745d1fsuyfG1Zlq+LNeb3A18P/ORFze9FpaveiUTbX0AKgN94QeO4H34YeHtRFD+HsDTeilxc/wEwyG7mFy9wfOfh24EfKooiAz4AvKMsS1cUxc8C/wfZXHzrRQ7wFL4F+JdFUTTALeCby7I8uiTj/bvAdeC7iqLo6h9/Dfj+Szi/Z431bwD//JLO7Y8DP1oUxc8AKfBtyHxe1mv3rPF+nMt77Z6FC1sbRpuAESNGjBjxUDE2bI4YMWLEiIeKMdCMGDFixIiHijHQjBgxYsSIh4ox0IwYMWLEiIeKMdCMGDFixIiHijHQjBgxYsSIh4ox0IwYMWLEiIeK/wdqpnC+rZKZsAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1b685098da0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "imshow(image)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {},
   "outputs": [],
   "source": [
    "from skimage.color import rgb2gray"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(282, 425)"
      ]
     },
     "execution_count": 83,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rgb2gray(image).shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\awant\\Anaconda3\\lib\\site-packages\\skimage\\io\\_plugins\\matplotlib_plugin.py:51: FutureWarning: Conversion of the second argument of issubdtype from `float` to `np.floating` is deprecated. In future, it will be treated as `np.float64 == np.dtype(float).type`.\n",
      "  out_of_range_float = (np.issubdtype(image.dtype, np.float) and\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x1b6860ff080>"
      ]
     },
     "execution_count": 84,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1b682654860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "imshow(rgb2gray(image))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {},
   "outputs": [],
   "source": [
    "from skimage.transform import resize"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\awant\\Anaconda3\\lib\\site-packages\\skimage\\transform\\_warps.py:84: UserWarning: The default mode, 'constant', will be changed to 'reflect' in skimage 0.15.\n",
      "  warn(\"The default mode, 'constant', will be changed to 'reflect' in \"\n",
      "C:\\Users\\awant\\Anaconda3\\lib\\site-packages\\skimage\\io\\_plugins\\matplotlib_plugin.py:51: FutureWarning: Conversion of the second argument of issubdtype from `float` to `np.floating` is deprecated. In future, it will be treated as `np.float64 == np.dtype(float).type`.\n",
      "  out_of_range_float = (np.issubdtype(image.dtype, np.float) and\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x1b68631fda0>"
      ]
     },
     "execution_count": 86,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1b686308c50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "imshow(resize(image, (200,200)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
